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 Author ID: ilin.v-a Published as: Il’in, V. A; Il’in, V. A.; Il’in, Vladimir; Il’ine, V.; Il’ine, V. A. External Links: MGP · Math-Net.Ru · Wikidata
 Documents Indexed: 361 Publications since 1950, including 16 Books Biographic References: 8 Publications
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#### Fields

 122 Partial differential equations (35-XX) 85 History and biography (01-XX) 49 Operator theory (47-XX) 45 Ordinary differential equations (34-XX) 39 Mechanics of deformable solids (74-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 25 Systems theory; control (93-XX) 9 Numerical analysis (65-XX) 7 Mechanics of particles and systems (70-XX) 6 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Geometry (51-XX) 3 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

115 Publications have been cited 832 times in 556 Documents Cited by Year
Nonlocal boundary-value problem of the second kind for a Sturm-Liouville operator. Zbl 0668.34024
Il’in, V. A.; Moiseev, E. I.
1987
Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite-difference aspects. Zbl 0668.34025
Il’in, V. A.; Mojseev, E. I.
1987
Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation. Zbl 1005.93023
Il’in, V. A.
2000
Optimization of boundary controls of string vibrations. Zbl 1145.35338
Il’in, V. A.; Moiseev, E. I.
2005
The solvability of mixed problems for hyperbolic and parabolic equations. Zbl 0116.29802
Il’in, V. A.
1960
Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation. Zbl 0989.35027
Il’in, V. A.
2000
Convergence problems of multiple trigonometric series and spectral decompositions. I. Zbl 0367.42008
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
1976
Properties of spectral expansions corresponding to non-self-adjoint differential operators. Zbl 1066.47044
Il’in, V. A.; Kritskov, L. V.
2003
Spectral theory of differential operators. Selfadjoint differential operators. Zbl 0759.47026
Il’in, V. A.
1991
Two-dimensional nonlocal boundary value problem for Poisson operator in differential and difference treatments. Zbl 0993.35500
Il’in, V. A.; Moiseev, E. I.
1990
Nonlocal boundary value problem of the first kind for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0636.34019
Il’in, V. A.; Moiseev, E. I.
1987
Minimization of the $$L_{p}$$-norm with arbitrary $$p \geq 1$$ of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t. Zbl 1131.49028
Il’in, V. A.; Moiseev, E. I.
2006
Conditions for the convergence of expansions corresponding to self- adjoint extensions of elliptic operators. I: A self-adjoint extension of the Laplace operator with a point spectrum. Zbl 0224.35014
Il’in, V. A.; Alimov, Sh. A.
1971
Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power $$p \geq 1$$. Zbl 1204.49017
Il’in, V. A.; Moiseev, E. I.
2006
An a priori estimate of the solution of a problem associated to a nonlocal boundary value problem of first kind. Zbl 0641.34016
Il’in, V. A.; Moiseev, E. I.
1988
Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval. Zbl 1132.49032
Il’in, V. A.; Moiseev, E. I.
2006
The generalized treatment of the principle of localization for Fourier series in fundamental systems of functions. Zbl 0191.07503
Il’in, V. A.
1968
Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment. Zbl 1423.74484
Il’in, V. A.
2009
On the unconditional basis property for systems of eigenfunctions and associated functions of a second-order differential operator on a closed interval. Zbl 0548.34026
Il’in, V. A.
1983
A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028
Il’in, V. A.; Moiseev, E. I.
1981
Conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators. II: Self-adjoint extensions of Laplace’s operator with orbitary spectra. Zbl 0224.35015
Alimov, Sh. A.; Il’in, V. A.
1971
Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances. Zbl 1423.74485
Il’in, V. A.; Luferenko, P. V.
2009
Optimization of a boundary control of an elastic force at one end of a string based on minimization of the integral of the modulus of the elastic force raised to an arbitrary power $$p \geq 1$$. Zbl 1327.49010
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval. Zbl 1151.49003
Il’in, V. A.; Moiseev, E. I.
2007
Problems of convergence of multiple trigonometric series and spectral decompositions II. Zbl 0376.42002
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
1977
Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state. Zbl 1217.35185
Il’in, V. A.
2010
Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization. Zbl 1157.93021
Il’in, V. A.
2008
Optimal boundary control by an elastic force at one end of a string with the other end being free for an arbitrary sufficiently large time interval. Zbl 1148.49021
Il’in, V. A.; Moiseev, E. I.
2007
Boundary control of a string oscillating at one end, with the other end fixed and under the condition of the existence of finite energy. Zbl 1090.93531
Il’in, V. A.
2001
Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions. Zbl 1194.35228
Il’in, V. A.; Moiseev, E. I.
2000
Problems of localization and convergence for Fourier series in fundamental systems of functions of the Laplace operator. Zbl 0189.35702
Il’in, V. A.
1968
On some properties of generalized solutions of the wave equation in the classes $$L _{p }$$ and $$W^1_p$$ for $$p \geq 1$$. Zbl 1307.35153
Il’in, V. A.; Kuleshov, A. A.
2012
Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1194.35229
Il’in, V. A.
2008
Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval. Zbl 1180.74042
Il’in, V. A.; Moiseev, E. I.
2007
On a boundary control at one end of a process described by the telegraph equation. Zbl 1146.93339
Il’in, V. A.; Moiseev, E. I.
2002
The wave equation with a boundary control at both endpoints and the complete vibration damping problem. Zbl 0977.35024
Il’in, V. A.; Tikhomirov, V. V.
1999
The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088
Il’in, V. A.; Moiseev, E. I.
1994
Necessary and sufficient conditions for the eigenvectors and associated vectors of discontinuous second order operators to be Riesz bases. Zbl 0619.34027
Il’in, V. A.
1986
Proof of uniqueness and membership in $$W^1_2$$ of the classical solution of a mixed problem for a self-adjoint hyperbolic equation. Zbl 0315.35055
Il’in, V. A.
1975
Generalized solutions of the wave equation in the classes $$L _{p }$$ and $$W^{1}_{p}$$ with $$p \geq 1$$. Zbl 1393.35124
Il’in, V. A.; Kuleshov, A. A.
2012
A terminal-boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times. Zbl 1202.35322
Il’in, V. A.
2010
An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances. Zbl 1423.74486
Il’in, V. A.; Luferenko, P. V.
2009
An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49019
Il’in, V. A.
2008
Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval. Zbl 1148.49022
Il’in, V. A.; Moiseev, E. I.
2008
Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval $$T$$. Zbl 1151.49006
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of a control by an elastic boundary force during an arbitrary sufficiently large time interval $$T$$ at one end of a string with second end free. Zbl 1151.49005
Il’in, V. A.; Moiseev, E. I.
2007
Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval. Zbl 1144.49023
Il’in, V. A.; Moiseev, E. I.
2007
A boundary control at two ends by a process described by the telegraph equation. Zbl 1128.49022
Il’in, V. A.; Moiseev, E. I.
2004
Boundary control of vibrations at one end, with the other end being fixed. Zbl 1043.93525
Il’in, V. A.
1999
Basis property and equiconvergence with the trigonometric series of root function expansions and the form of boundary conditions for a nonself-adjoint differential operator. Zbl 0852.34072
Il’in, V. A.
1994
On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059
Il’in, V. A.; Moiseev, E. I.
1992
Basis property of systems of eigenfunctions and associated functions of nonselfadjoint operators, and the integrability of nonlinear evolution equations admitting a Lax representation. I. Zbl 0731.35070
Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I.
1989
Estimate of the difference of partial sums of expansions, corresponding to two arbitrary nonnegative self-adjoint extensions of two operators of Sturm-Liouville type, for absolutely continuous function. Zbl 0416.34032
Il’in, V. A.; Jo, I.
1979
Uniform estimate of eigenfunctions and upper estimate of the number of eigenvalues of Sturm-Liouville operator with potential from the class $$L^p$$. Zbl 0416.34031
Il’in, V. A.; Jo, I.
1979
Necessary and sufficient conditions for a generalized solution to the initial-boundary value problem for the wave equation to belong to $$W_p^1$$ with $$p\geq 1$$. Zbl 1288.35329
Il’in, V. A.; Kuleshov, A. A.
2013
Necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation to belong to the class $$L_{p}$$ for $$p \geq 1$$. Zbl 1263.35157
Il’in, V. A.; Kuleshov, A. A.
2012
Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments. Zbl 1357.74049
Il’in, V. A.
2011
Optimization of the boundary displacement control of vibrations of a rod consisting of two dissimilar parts. Zbl 1251.49004
Il’in, V. A.
2011
Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances. Zbl 1183.35267
Il’in, V. A.; Luferenko, P. V.
2009
Dynamics of electroconvective structures in a weakly conducting liquid. Zbl 1271.76379
Il’in, V. A.; Smorodin, B. L.
2008
Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49020
Il’in, V. A.
2008
The wave equation with a boundary control at both endpoints on an arbitrary time interval. Zbl 0982.93043
Il’in, V. A.
1999
Spectral expansions corresponding to the Liouville operator generated by the Schrödinger operator with uniformly locally integrable potential. Zbl 0884.34081
Antoniu, I.; Il’in, V. A.
1996
Uniform estimate over the entire line $$\mathbb{R}$$ for the rate of convergence of the spectral expansion related to the Schrödinger operator with summable potential. Zbl 0874.34071
Il’in, V. A.; Kritskov, L. V.
1996
Uniform estimate over the whole line for generalized eigenfunctions of the one-dimensional Schrödinger operator with a uniformly locally summable potential. Zbl 0863.34082
Il’in, V. A.; Kritskov, L. V.
1995
Mathematical analysis. II: Continuation of the course. Textbook. (Matematicheskij analiz. II: Prodolzhenie kursa. Uchebnik). Zbl 0644.26002
Il’in, V. A.; Sadovnichij, V. A.; Sendov, Bl. Kh.
1987
A nonlocal boundary value problem for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0643.34016
Il’in, V. A.; Moiseev, E. I.
1987
Notwendige und hinreichende Bedingungen der Basiseigenschaft und der Äquikonvergenz mit der Fourierreihe von Spektralentwicklungen. I, II. Zbl 0449.42025
Il’in, V. A.
1980
Über die Konvergenz von Entwicklungen nach Eigenfunktionen der Koeffizienten eines Differentialoperators in Unstetigkeitspunkten. Zbl 0364.34011
Il’in, V. A.
1977
On the existence of a reduced system of eigenfunctions and generalized eigenfunctions for a nonselfadjoint ordinary differential operator. Zbl 0434.34018
Il’in, V. A.
1976
Fragen der Konvergenz mehrfacher trigonometrischer Reihen und Spektralentwicklungen. Zbl 0345.42005
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
1976
On uniform equiconvergence of expansions in eigen and associated functions of a non-selfadjoint ordinary differential operator and in trigonometric Fourier series. Zbl 0395.34022
Il’in, V. A.
1975
The nature of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers). Zbl 0209.41302
Il’in, V. A.; Filippov, A. F.
1970
Im abgeschlossenen Bereich gleichmäßige Abschätzungen für die Eigenfunktionen eines elliptischen Operators und ihrer Ableitungen. Zbl 0095.08201
Il’in, V. A.; Shishmarev, I. A.
1960
Equivalence of two definitions of a generalized $$L_p$$ solution to the initial-boundary value problem for the wave equation. Zbl 1307.35157
Il’in, V. A.; Kuleshov, A. A.
2014
Criterion for a generalized solution in the class $$L_p$$ for the wave equation to be in the class $$W_p^1$$. Zbl 1270.35296
Il’in, V. A.; Kuleshov, A. A.
2012
Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018
Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N.
2010
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P.
2010
A d’Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities. Zbl 1205.35157
Il’in, V. A.
2009
Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035
Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; Kurzhanskii, A. B.; Marchuk, G. I.; Matrosov, V. M.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.
2009
A d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities. Zbl 1177.74221
Il’in, V. A.
2009
On the independence of optimal boundary controls of string vibrations on the choice of the coordination point of initial and terminal conditions. Zbl 1144.49022
Il’in, V. A.
2008
Optimization of boundary controls by displacements at two ends of a string during an arbitrary sufficiently large time interval. Zbl 1151.49004
Il’in, V. A.; Moiseev, E. I.
2007
Nikolai Nikolaevich Krasovskiǐ (a tribute in honor of his 80th birthday). Zbl 1169.01306
Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; et al.
2004
Boundary control of the process described by the equation $$k(x)[k(x)u_x(x,t)]_x-u_{tt}(x,t)=0$$. Zbl 1146.93338
Il’in, V. A.
2002
Boundary control of the vibrations of a string at two endpoints under the condition of the existence of finite energy. Zbl 1090.93507
Il’in, V. A.
2001
Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039
Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G.
1999
An estimate of the spectral function of the self-adjoint extension in $$\mathbb{R}^2$$ of the Schrödinger operator with potential satisfying the Stummel condition. Zbl 1003.35102
Il’in, V. A.
1998
An upper bound on the diagonal for the spectral function of the many-dimensional Schrödinger operator with potential satisfying the Kato condition. Zbl 0946.35054
Il’in, V. A.; Moiseev, E. I.
1998
Order-exact estimates, uniform in $$\mathbb{R}^ N$$ for $$N=2$$ and $$N=3$$ of the squared fundamental functions of the selfadjoint extension in $$\mathbb{R}^ N$$ of the Schrödinger operator with potential satisfying the Kato condition. Zbl 0886.35105
Il’in, V. A.; Moiseev, E. I.
1996
Uniform equiconvergence on the entire axis $$\mathbb{R}$$ to a Fourier integral of the spectral expansion corresponding to a self-adjoint extension of the Schrödinger operator with uniformly locally integrable potential. Zbl 0874.34070
Il’in, V. A.
1995
Spectral theory of differential operators. Self-adjoint differential operators. Transl. from the Russian. Zbl 0874.35002
Il’in, V. A.
1995
Componentwise equiconvergence with a trigonometric series of expansions with respect to root vector-functions of the Schrödinger operator with non-Hermitian matrix potential all elements of which are only summable. Zbl 0741.34053
Il’in, V. A.
1991
A mean value formula for root functions of the Schrödinger operator. Zbl 0738.35016
Il’in, V. A.; Moiseev, E. I.
1991
Equiconvergence, with trigonometric series, of expansions in root functions of a one-dimensional Schrödinger operator with a complex potential in the class $$L_ 1$$. Zbl 0779.34065
Il’in, V. A.
1991
On the Riesz basis property of systems of root vector-valued functions of a discontinuous Schrödinger operator with matrix potential. Zbl 0779.35027
Il’in, V. A.
1990
An a priori bound for a solution of the problem conjugate to a nonlocal boundary-value problem of the first kind. Zbl 0715.34031
Il’in, V. A.; Moiseev, E. I.
1988
A bound for the difference between Riesz means of two spectral expansions of functions from the class $$L_ 2$$. Zbl 0699.35191
Il’in, V. A.
1988
Analytic geometry. Textbook. 4th ed., compl. Zbl 0634.51002
Il’in, V. A.; Poznyak, Eh. G.
1988
Inequalities of Bessel and Hausdorff-Young-Riesz type for functions in the class of radial functions, with respect to a system of eigenfunctions of the Laplace operator. Zbl 0634.47018
Il’in, V. A.; Joó, Istvan
1986
Equivalence of two definitions of a generalized $$L_p$$ solution to the initial-boundary value problem for the wave equation. Zbl 1307.35157
Il’in, V. A.; Kuleshov, A. A.
2014
Necessary and sufficient conditions for a generalized solution to the initial-boundary value problem for the wave equation to belong to $$W_p^1$$ with $$p\geq 1$$. Zbl 1288.35329
Il’in, V. A.; Kuleshov, A. A.
2013
On some properties of generalized solutions of the wave equation in the classes $$L _{p }$$ and $$W^1_p$$ for $$p \geq 1$$. Zbl 1307.35153
Il’in, V. A.; Kuleshov, A. A.
2012
Generalized solutions of the wave equation in the classes $$L _{p }$$ and $$W^{1}_{p}$$ with $$p \geq 1$$. Zbl 1393.35124
Il’in, V. A.; Kuleshov, A. A.
2012
Necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation to belong to the class $$L_{p}$$ for $$p \geq 1$$. Zbl 1263.35157
Il’in, V. A.; Kuleshov, A. A.
2012
Criterion for a generalized solution in the class $$L_p$$ for the wave equation to be in the class $$W_p^1$$. Zbl 1270.35296
Il’in, V. A.; Kuleshov, A. A.
2012
Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments. Zbl 1357.74049
Il’in, V. A.
2011
Optimization of the boundary displacement control of vibrations of a rod consisting of two dissimilar parts. Zbl 1251.49004
Il’in, V. A.
2011
Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state. Zbl 1217.35185
Il’in, V. A.
2010
A terminal-boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times. Zbl 1202.35322
Il’in, V. A.
2010
Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018
Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N.
2010
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P.
2010
Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment. Zbl 1423.74484
Il’in, V. A.
2009
Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances. Zbl 1423.74485
Il’in, V. A.; Luferenko, P. V.
2009
An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances. Zbl 1423.74486
Il’in, V. A.; Luferenko, P. V.
2009
Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances. Zbl 1183.35267
Il’in, V. A.; Luferenko, P. V.
2009
A d’Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities. Zbl 1205.35157
Il’in, V. A.
2009
Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035
Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; Kurzhanskii, A. B.; Marchuk, G. I.; Matrosov, V. M.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.
2009
A d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities. Zbl 1177.74221
Il’in, V. A.
2009
Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization. Zbl 1157.93021
Il’in, V. A.
2008
Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1194.35229
Il’in, V. A.
2008
An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49019
Il’in, V. A.
2008
Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval. Zbl 1148.49022
Il’in, V. A.; Moiseev, E. I.
2008
Dynamics of electroconvective structures in a weakly conducting liquid. Zbl 1271.76379
Il’in, V. A.; Smorodin, B. L.
2008
Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49020
Il’in, V. A.
2008
On the independence of optimal boundary controls of string vibrations on the choice of the coordination point of initial and terminal conditions. Zbl 1144.49022
Il’in, V. A.
2008
Optimization of a boundary control of an elastic force at one end of a string based on minimization of the integral of the modulus of the elastic force raised to an arbitrary power $$p \geq 1$$. Zbl 1327.49010
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval. Zbl 1151.49003
Il’in, V. A.; Moiseev, E. I.
2007
Optimal boundary control by an elastic force at one end of a string with the other end being free for an arbitrary sufficiently large time interval. Zbl 1148.49021
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval. Zbl 1180.74042
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval $$T$$. Zbl 1151.49006
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of a control by an elastic boundary force during an arbitrary sufficiently large time interval $$T$$ at one end of a string with second end free. Zbl 1151.49005
Il’in, V. A.; Moiseev, E. I.
2007
Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval. Zbl 1144.49023
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of boundary controls by displacements at two ends of a string during an arbitrary sufficiently large time interval. Zbl 1151.49004
Il’in, V. A.; Moiseev, E. I.
2007
Minimization of the $$L_{p}$$-norm with arbitrary $$p \geq 1$$ of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t. Zbl 1131.49028
Il’in, V. A.; Moiseev, E. I.
2006
Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power $$p \geq 1$$. Zbl 1204.49017
Il’in, V. A.; Moiseev, E. I.
2006
Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval. Zbl 1132.49032
Il’in, V. A.; Moiseev, E. I.
2006
Optimization of boundary controls of string vibrations. Zbl 1145.35338
Il’in, V. A.; Moiseev, E. I.
2005
A boundary control at two ends by a process described by the telegraph equation. Zbl 1128.49022
Il’in, V. A.; Moiseev, E. I.
2004
Nikolai Nikolaevich Krasovskiǐ (a tribute in honor of his 80th birthday). Zbl 1169.01306
Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; et al.
2004
Properties of spectral expansions corresponding to non-self-adjoint differential operators. Zbl 1066.47044
Il’in, V. A.; Kritskov, L. V.
2003
On a boundary control at one end of a process described by the telegraph equation. Zbl 1146.93339
Il’in, V. A.; Moiseev, E. I.
2002
Boundary control of the process described by the equation $$k(x)[k(x)u_x(x,t)]_x-u_{tt}(x,t)=0$$. Zbl 1146.93338
Il’in, V. A.
2002
Boundary control of a string oscillating at one end, with the other end fixed and under the condition of the existence of finite energy. Zbl 1090.93531
Il’in, V. A.
2001
Boundary control of the vibrations of a string at two endpoints under the condition of the existence of finite energy. Zbl 1090.93507
Il’in, V. A.
2001
Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation. Zbl 1005.93023
Il’in, V. A.
2000
Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation. Zbl 0989.35027
Il’in, V. A.
2000
Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions. Zbl 1194.35228
Il’in, V. A.; Moiseev, E. I.
2000
The wave equation with a boundary control at both endpoints and the complete vibration damping problem. Zbl 0977.35024
Il’in, V. A.; Tikhomirov, V. V.
1999
Boundary control of vibrations at one end, with the other end being fixed. Zbl 1043.93525
Il’in, V. A.
1999
The wave equation with a boundary control at both endpoints on an arbitrary time interval. Zbl 0982.93043
Il’in, V. A.
1999
Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039
Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G.
1999
An estimate of the spectral function of the self-adjoint extension in $$\mathbb{R}^2$$ of the Schrödinger operator with potential satisfying the Stummel condition. Zbl 1003.35102
Il’in, V. A.
1998
An upper bound on the diagonal for the spectral function of the many-dimensional Schrödinger operator with potential satisfying the Kato condition. Zbl 0946.35054
Il’in, V. A.; Moiseev, E. I.
1998
Spectral expansions corresponding to the Liouville operator generated by the Schrödinger operator with uniformly locally integrable potential. Zbl 0884.34081
Antoniu, I.; Il’in, V. A.
1996
Uniform estimate over the entire line $$\mathbb{R}$$ for the rate of convergence of the spectral expansion related to the Schrödinger operator with summable potential. Zbl 0874.34071
Il’in, V. A.; Kritskov, L. V.
1996
Order-exact estimates, uniform in $$\mathbb{R}^ N$$ for $$N=2$$ and $$N=3$$ of the squared fundamental functions of the selfadjoint extension in $$\mathbb{R}^ N$$ of the Schrödinger operator with potential satisfying the Kato condition. Zbl 0886.35105
Il’in, V. A.; Moiseev, E. I.
1996
Uniform estimate over the whole line for generalized eigenfunctions of the one-dimensional Schrödinger operator with a uniformly locally summable potential. Zbl 0863.34082
Il’in, V. A.; Kritskov, L. V.
1995
Uniform equiconvergence on the entire axis $$\mathbb{R}$$ to a Fourier integral of the spectral expansion corresponding to a self-adjoint extension of the Schrödinger operator with uniformly locally integrable potential. Zbl 0874.34070
Il’in, V. A.
1995
Spectral theory of differential operators. Self-adjoint differential operators. Transl. from the Russian. Zbl 0874.35002
Il’in, V. A.
1995
The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088
Il’in, V. A.; Moiseev, E. I.
1994
Basis property and equiconvergence with the trigonometric series of root function expansions and the form of boundary conditions for a nonself-adjoint differential operator. Zbl 0852.34072
Il’in, V. A.
1994
On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059
Il’in, V. A.; Moiseev, E. I.
1992
Spectral theory of differential operators. Selfadjoint differential operators. Zbl 0759.47026
Il’in, V. A.
1991
Componentwise equiconvergence with a trigonometric series of expansions with respect to root vector-functions of the Schrödinger operator with non-Hermitian matrix potential all elements of which are only summable. Zbl 0741.34053
Il’in, V. A.
1991
A mean value formula for root functions of the Schrödinger operator. Zbl 0738.35016
Il’in, V. A.; Moiseev, E. I.
1991
Equiconvergence, with trigonometric series, of expansions in root functions of a one-dimensional Schrödinger operator with a complex potential in the class $$L_ 1$$. Zbl 0779.34065
Il’in, V. A.
1991
Two-dimensional nonlocal boundary value problem for Poisson operator in differential and difference treatments. Zbl 0993.35500
Il’in, V. A.; Moiseev, E. I.
1990
On the Riesz basis property of systems of root vector-valued functions of a discontinuous Schrödinger operator with matrix potential. Zbl 0779.35027
Il’in, V. A.
1990
Basis property of systems of eigenfunctions and associated functions of nonselfadjoint operators, and the integrability of nonlinear evolution equations admitting a Lax representation. I. Zbl 0731.35070
Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I.
1989
An a priori estimate of the solution of a problem associated to a nonlocal boundary value problem of first kind. Zbl 0641.34016
Il’in, V. A.; Moiseev, E. I.
1988
An a priori bound for a solution of the problem conjugate to a nonlocal boundary-value problem of the first kind. Zbl 0715.34031
Il’in, V. A.; Moiseev, E. I.
1988
A bound for the difference between Riesz means of two spectral expansions of functions from the class $$L_ 2$$. Zbl 0699.35191
Il’in, V. A.
1988
Analytic geometry. Textbook. 4th ed., compl. Zbl 0634.51002
Il’in, V. A.; Poznyak, Eh. G.
1988
Nonlocal boundary-value problem of the second kind for a Sturm-Liouville operator. Zbl 0668.34024
Il’in, V. A.; Moiseev, E. I.
1987
Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite-difference aspects. Zbl 0668.34025
Il’in, V. A.; Mojseev, E. I.
1987
Nonlocal boundary value problem of the first kind for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0636.34019
Il’in, V. A.; Moiseev, E. I.
1987
Mathematical analysis. II: Continuation of the course. Textbook. (Matematicheskij analiz. II: Prodolzhenie kursa. Uchebnik). Zbl 0644.26002
Il’in, V. A.; Sadovnichij, V. A.; Sendov, Bl. Kh.
1987
A nonlocal boundary value problem for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0643.34016
Il’in, V. A.; Moiseev, E. I.
1987
Necessary and sufficient conditions for the eigenvectors and associated vectors of discontinuous second order operators to be Riesz bases. Zbl 0619.34027
Il’in, V. A.
1986
Inequalities of Bessel and Hausdorff-Young-Riesz type for functions in the class of radial functions, with respect to a system of eigenfunctions of the Laplace operator. Zbl 0634.47018
Il’in, V. A.; Joó, Istvan
1986
On the unconditional basis property for systems of eigenfunctions and associated functions of a second-order differential operator on a closed interval. Zbl 0548.34026
Il’in, V. A.
1983
Necessary and sufficient conditions for the basis property in $$L_ p$$, and equiconvergence with a trigonometric series, of spectral decompositions and expansions in systems of exponential functions. Zbl 0545.34022
Il’in, V. A.
1983
A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028
Il’in, V. A.; Moiseev, E. I.
1981
Notwendige und hinreichende Bedingungen der Basiseigenschaft und der Äquikonvergenz mit der Fourierreihe von Spektralentwicklungen. I, II. Zbl 0449.42025
Il’in, V. A.
1980
Necessary and sufficient conditions for the functions used in spectral expansions to form a basis, and for the equiconvergence of spectral expansions and trigonometric series. I. Zbl 0473.42018
Il’in, V. A.
1980
Estimate of the difference of partial sums of expansions, corresponding to two arbitrary nonnegative self-adjoint extensions of two operators of Sturm-Liouville type, for absolutely continuous function. Zbl 0416.34032
Il’in, V. A.; Jo, I.
1979
Uniform estimate of eigenfunctions and upper estimate of the number of eigenvalues of Sturm-Liouville operator with potential from the class $$L^p$$. Zbl 0416.34031
Il’in, V. A.; Jo, I.
1979
A uniform bound on the eigenfunctions and an upper bound on the number of eigenvalues of the Sturm-Liouville operator. Zbl 0418.34030
Il’in, V. A.; Io, I.
1978
Problems of convergence of multiple trigonometric series and spectral decompositions II. Zbl 0376.42002
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
1977
Über die Konvergenz von Entwicklungen nach Eigenfunktionen der Koeffizienten eines Differentialoperators in Unstetigkeitspunkten. Zbl 0364.34011
Il’in, V. A.
1977
Convergence problems of multiple trigonometric series and spectral decompositions. I. Zbl 0367.42008
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
1976
On the existence of a reduced system of eigenfunctions and generalized eigenfunctions for a nonselfadjoint ordinary differential operator. Zbl 0434.34018
Il’in, V. A.
1976
Fragen der Konvergenz mehrfacher trigonometrischer Reihen und Spektralentwicklungen. Zbl 0345.42005
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
1976
Petr Ivanovich Kuznetsov (Zum 40. Jahr der wissenschaftlichen Tätigkeit). Zbl 0318.01020
Bol’shev, L. N.; Il’in, V. A.; Krasovskij, N. N.; Prokhorov, Yu. V.; Sotskov, B. S.; Tikhonov, A. N.
1976
Proof of uniqueness and membership in $$W^1_2$$ of the classical solution of a mixed problem for a self-adjoint hyperbolic equation. Zbl 0315.35055
Il’in, V. A.
1975
On uniform equiconvergence of expansions in eigen and associated functions of a non-selfadjoint ordinary differential operator and in trigonometric Fourier series. Zbl 0395.34022
Il’in, V. A.
1975
On the equiconvergence of an expansion in a trigonometric Fourier series and the eigenfunctions of the Keldys pencil of ordinary nonselfadjoint differential operators. Zbl 0336.47028
Il’in, V. A.
1975
Conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators. V: The uniform convergence of a spectral expansion for a general second-order elliptic operator. Zbl 0314.35070
Il’in, V. A.; Alimov, Sh. A.
1975
Conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators. II: Self-adjoint extensions of Laplace’s operator with arbitrary spectra. Zbl 0267.35003
Alimov, Sh. A.; Il’in, V. A.
1973
...and 15 more Documents
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#### Cited by 533 Authors

 49 Ge, Weigao 25 Il’in, Vladimir Aleksandrovich 15 Ashurov, Ravshan R. 15 Liu, Yuji 15 Ma, Ruyun 13 Guo, Yanping 12 Kritskov, Leonid V. 11 Liu, Bing 10 Gupta, Chaitan P. 10 Moiseev, Evgeniĭ Ivanovich 9 Feng, Hanying 9 Potapov, Mikhaĭl Mikhaĭlovich 8 Ji, Dehong 8 Liu, Lishan 7 Ji, Yude 7 Khromov, Avgust Petrovich 7 Lomov, Igor’ Sergeevich 6 Ahmad, Bashir 6 Bai, Zhanbing 6 Du, Zengji 6 Feng, Meiqiang 6 Kuleshov, Andrey A. 6 Pang, Huihui 6 Wang, Youyu 6 Yuldashev, Tursun Kamaldinovich 6 Zhao, Junfang 5 Luca, Rodica 5 Polovinkin, I. P. 5 Smirnov, I. N. 5 Sun, Bo 5 Tsamatos, Panagiotis Ch. 5 Wu, Yonghong 4 Abdukarimov, M. F. 4 Ashyralyev, Allaberen 4 Bai, Chuanzhi 4 Chen, Shihua 4 Colzani, Leonardo 4 Dryazhenkov, Andrey A. 4 Gimaltdinova, Alfira A. 4 Henderson, Johnny Lee 4 Kholomeeva, A. A. 4 Liu, Xiujun 4 Ntouyas, Sotiris K. 4 Shen, Jianhua 4 Štikonas, Artūras 4 Sun, Yongping 4 Volkov, Evgeniĭ Alekseevich 4 Yang, Zhilin 4 Zhang, Jihui 3 Agarwal, Ravi P. 3 Alimov, Shavkat A. 3 Al-saedi, Ahmed Eid Salem 3 Burlutskaya, Marija Shaukatovna 3 Chernyshov, A. D. 3 Fang, Jinxuan 3 Grona, V. L. 3 Hao, Xin’an 3 Imanbaev, Nurlan Sayramovich 3 Jangveladze, Temur A. 3 Jiang, Weihua 3 Karakostas, George L. 3 Kiguradze, Ivan Tarielovich 3 Kim, Chan-Gyun 3 Kong, Lingju 3 Kozhanov, Aleksandr Ivanovich 3 Kozlova, Elena Aleksandrovna 3 Lian, Hairong 3 Liang, Sihua 3 Lin, Xiaojie 3 Luferenko, P. V. 3 Ma, Dexiang 3 Mokrousov, Il’ya Sergeevich 3 Nieto Roig, Juan Jose 3 Prasad, Kapula Rajendra 3 Rogozhnikov, A. M. 3 Sapagovas, Mifodijus 3 Sarsenbi, Abdizhahan M. 3 Satimov, Numan Yunusovich 3 Skubachevskij, Alexander L. 3 Sreedhar, Namburi 3 Travaglini, Giancarlo 3 Tukhtasinov, M. T. 3 Vu Kim Tuan 3 Wang, Weibing 3 Wei, Zhongli 3 Yang, Pinghua 3 Zhang, Guang 3 Zhang, Xinguang 3 Zhang, Xuemei 2 Ahmedov, Anvarjon Ahatjonovich 2 Andreev, Viktor Konstantinovich 2 Attaev, Anatoliĭ Khuseevich 2 Avalishvili, Gia 2 Avalishvili, Mariam 2 Bai, Donglong 2 Beĭlin, Aleksandr Borisovich 2 Beshtokova, Z. V. 2 Borodinova, D. Yu. 2 Boumenir, Amin A. 2 Brandolini, Luca ...and 433 more Authors
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#### Cited in 115 Serials

 52 Differential Equations 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Doklady Mathematics 41 Journal of Mathematical Analysis and Applications 41 Applied Mathematics and Computation 27 Computers & Mathematics with Applications 20 Boundary Value Problems 14 Mathematical Notes 13 Journal of Computational and Applied Mathematics 13 Abstract and Applied Analysis 10 Applied Mathematics Letters 10 Journal of Mathematical Sciences (New York) 9 Journal of Applied Mathematics and Computing 9 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 7 Mathematical and Computer Modelling 7 Proceedings of the Steklov Institute of Mathematics 6 Lithuanian Mathematical Journal 6 Ukrainian Mathematical Journal 6 Computational Mathematics and Mathematical Physics 5 Russian Mathematics 5 Advances in Difference Equations 5 Eurasian Mathematical Journal 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Applied Mathematics and Mechanics 4 Proceedings of the American Mathematical Society 4 Fractional Calculus & Applied Analysis 4 Lobachevskii Journal of Mathematics 4 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 3 Moscow University Mathematics Bulletin 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Journal of Functional Analysis 3 Acta Mathematicae Applicatae Sinica. English Series 3 Automation and Remote Control 3 The Journal of Fourier Analysis and Applications 3 Mediterranean Journal of Mathematics 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 3 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 2 Rocky Mountain Journal of Mathematics 2 Functional Analysis and its Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Journal of Soviet Mathematics 2 Results in Mathematics 2 Moscow University Computational Mathematics and Cybernetics 2 Acta Applicandae Mathematicae 2 Optimization 2 Journal of Integral Equations and Applications 2 Computational Mathematics and Modeling 2 Applications of Mathematics 2 Turkish Journal of Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 Integral Transforms and Special Functions 2 Journal of Applied Mechanics and Technical Physics 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics 2 Complex Variables and Elliptic Equations 2 Tbilisi Mathematical Journal 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Applicable Analysis 1 Fluid Dynamics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Prikladnaya Matematika i Mekhanika 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Cybernetics and Systems Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Mathematics. Series B (English Edition) 1 International Applied Mechanics 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Positivity 1 Acta Mathematica Sinica. English Series 1 Trudy Instituta Matematiki 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 Central European Journal of Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Inverse Problems in Science and Engineering 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche ...and 15 more Serials
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#### Cited in 29 Fields

 311 Ordinary differential equations (34-XX) 168 Partial differential equations (35-XX) 125 Operator theory (47-XX) 46 Mechanics of deformable solids (74-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 35 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 17 Integral equations (45-XX) 10 Difference and functional equations (39-XX) 9 Functional analysis (46-XX) 6 Abstract harmonic analysis (43-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX)

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