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Il’in, Vladimir Aleksandrovich (b. 1928 d. 2014)

Author ID: ilin.v-a Recent zbMATH articles by "Il’in, Vladimir Aleksandrovich"
Published as: Il’in, V. A.; Il’ine, Vladimir; Il’in, Vladimir; Il’ine, V. A.; Il’in, V. A
External Links: MGP · Wikidata · Math-Net.Ru · IdRef
Documents Indexed: 361 Publications since 1950, including 14 Books
2 Contributions as Editor
Biographic References: 8 Publications
Co-Authors: 230 Co-Authors with 217 Joint Publications
6,357 Co-Co-Authors
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Co-Authors

144 single-authored
62 Moiseev, Evgeniĭ Ivanovich
22 Izobov, Nikolaĭ Alekseevich
21 Samarskiĭ, Aleksandr Andreevich
20 Emel’yanov, Stanislav Vasil’evich
20 Gaĭshun, Ivan Vasil’evich
19 Alimov, Shavkat Arifdzhanovich
17 Sadovnichiĭ, Viktor Antonovich
14 Rozov, Nikolaĭ Khristovich
14 Sveshnikov, Alekseĭ Georgievich
13 Shemyakina, Tamara Kuz’minichna
12 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
12 Tikhonov, Andreĭ Nikolaevich
11 Korovin, Sergeĭ Konstantinovich
11 Osipov, Yuriĭ Sergeevich
10 Bitsadze, Andreĭ Vasil’evich
10 Kozlov, Valeriĭ Vasil’evich
10 Kudryavtsev, Lev Dmitrievich
10 Mishchenko, Evgeniĭ Frolovich
10 Poznyak, Eh. G.
10 Shishmarev, Ilya Andreevich
9 Krasovskiĭ, Nikolaĭ Nikolaevich
9 Kurzhanskiĭ, Aleksandr Borisovich
8 Jo, Ishtvan
8 Kuleshov, Aleksandr Andreevich
8 Millionshchikov, Vladimir Mikhaĭlovich
8 Samoĭlenko, Anatoliĭ Mykhaĭlovych
8 Vladimirov, Vasiliĭ Sergeevich
7 Arsen’ev, Alekseĭ Alekseevich
7
6 Anosov, Dmitriĭ Viktorovich
6 Besov, Oleg Vladimirovich
6 Kiguradze, Ivan Tarielovich
6 Marchuk, Guriĭ Ivanovich
6 Martynyuk, Anatoliĭ Andriĭovych
5 Erugin, Nikolaĭ Pavlovich
5 Kondrat’ev, Vladimir Aleksandrovich
5 Kritskov, Leonid V.
5 Pliss, Viktor Aleksandrovich
4 Abrashin, Vyacheslav Nikolaevich
4 Chernous’ko, Feliks Leonidovich
4 Dezin, Alekseĭ Alekseevich
4 Gonchar, Andreĭ Aleksandrovich
4 Gulin, Alexei V.
4 Kostomarov, Dmitrii Pavlovich
4 Kurdyumov, Sergeĭ Pavlovich
4 Maslov, Viktor Pavlovich
4 Nikishin, Evgenii Mikhailovich
4 Ovsyannikov, Lev Vasil’evich
4 Tikhomirov, V. V.
3 Antoniou, Ioannis E.
3 Arutyunov, Aram Vladimirovic
3 Bakhvalov, Nikolaĭ Sergeevich
3 Belotserkovskiĭ, Oleg Mikhaĭlovich
3 Bibikov, Yuriĭ Nikolaevich
3 Denisov, Alexander Mikhailovich
3 Filippov, Vladimir Mikhaĭlovich
3 Gamkrelidze, Revaz Valerianovich
3 Gushchin, Anatoliĭ Konstantinovich
3 Il’in, Arlen Mikhaĭlovich
3 Luferenko, P. V.
3 Mal’kov, K. V.
3 Mikhajlov, Valentin Petrovich
3 Mitidieri, Enzo Luigi
3 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
3 Oleĭnik, Ol’ga Arsen’evna
3 Pal’tsev, B. V.
3 Pokhozhaev, Stanislav I.
3 Popov, Yurii P.
3 Prokhorov, Yuriĭ Vasil’evich
3 Tesei, Alberto
3 Véron, Laurent
3 Volkov, Evgeniĭ Alekseevich
3 Volovich, Igor’ Vasil’evich
2 Aleksandryan, Rafael’ Aramovich
2 Amel’kin, Vladimir Vasilievich
2 Andreev, Alekseĭ Fedorovich
2 Astashova, Irina Viktorovna
2 Berezans’kyĭ, Yuriĭ Makarovych
2 Bochkarëv, Sergeĭ Viktorovich
2 Boĭchuk, Oleksandr Andriĭovych
2 Bol’shev, Login Nikolaevich
2 Chetverushkin, Boris Nikolaevich
2 Drozhzhinov, Yuriĭ Nikolaevich
2 Faddeev, Lyudvig Dmitrievich
2 Filinovskiĭ, Alexeĭ Vladislavovich
2 Gromak, Valeriĭ Ivanovich
2 Il’inskiĭ, Anatoliĭ Serafimovich
2 Joó, István
2 Kashin, Boris Sergeevich
2 Kirpichnikov, M. P.
2 Korolyuk, Volodymyr Semenovych
2 Koshlyakov, Vladimir Nikolaevich
2 Kostyuchenko, Anatolii Gordeevich
2 Krukovskii, N. M.
2 Lomov, Igor’ Sergeevich
2 Matrosov, Vladimir Mefod’evich
2 Mojseev, E. I.
2 Paton, Borys Yevgenovych
2 Perestyuk, Mykola Oleksiĭovych
2 Romanko, V. K.
...and 132 more Co-Authors
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Serials

65 Differential Equations
52 Differential Equations
36 Differentsial’nye Uravneniya
36 Soviet Mathematics. Doklady
36 Doklady Mathematics
21 Russian Mathematical Surveys
9 Doklady Akademii Nauk SSSR
9 Proceedings of the Steklov Institute of Mathematics
8 Uspekhi Matematicheskikh Nauk [N. S.]
7 Mathematical Notes
5 Matematicheskie Zametki
4 Automation and Remote Control
4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
4 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal
4 Doklady Akademii Nauk SSSR. Novaya Seriya
3 Matematicheskiĭ Sbornik. Novaya Seriya
3 Sibirskiĭ Matematicheskiĭ Zhurnal
3 Matematicheskoe Modelirovanie
2 Computers & Mathematics with Applications
2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
2 Soviet Physics. Doklady
2 Vestnik Moskovskogo Universiteta. Seriya 15
2 Doklady Akademii Nauk
2 Journal of Mathematical Sciences (New York)
2 Journal of Applied Mechanics and Technical Physics
2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mathematica Slovaca
1 Moscow University Computational Mathematics and Cybernetics
1 Computational Mathematics and Modeling
1 Russian Academy of Sciences. Doklady. Mathematics
1 Integral Transforms and Special Functions
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Translations. Series 2. American Mathematical Society
1 Advances in Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

137 Publications have been cited 1,078 times in 710 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.
230
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.
159
1987
The solvability of mixed problems for hyperbolic and parabolic equations. Zbl 0116.29802
Il’in, V. A.
47
1960
Optimization of boundary controls of string vibrations. Zbl 1145.35338
Il’in, V. A.; Moiseev, E. I.
35
2005
Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation. Zbl 1005.93023
Il’in, V. A.
35
2000
Properties of spectral expansions corresponding to non-self-adjoint differential operators. Zbl 1066.47044
Il’in, V. A.; Kritskov, L. V.
27
2003
Spectral theory of differential operators. Selfadjoint differential operators. (Spektral’naya teoriya differentsial’nykh operatorov. Samosopryazhennye differentsial’nye operatory.) Zbl 0759.47026
Il’in, V. A.
25
1991
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.
24
2000
Convergence problems of multiple trigonometric series and spectral decompositions. I. Zbl 0367.42008
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
24
1976
Two-dimensional nonlocal boundary value problem for Poisson operator in differential and difference treatments. Zbl 0993.35500
Il’in, V. A.; Moiseev, E. I.
18
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.
16
1987
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.
15
1971
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.
14
1999
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.
12
1988
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.
11
2006
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.
11
1986
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.
10
2000
A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028
Il’in, V. A.; Moiseev, E. I.
9
1981
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.
9
2006
The generalized treatment of the principle of localization for Fourier series in fundamental systems of functions. Zbl 0191.07503
Il’in, V. A.
9
1968
Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1194.35229
Il’in, V. A.
9
2008
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.
9
2006
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.
8
2009
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.
8
1971
Problems of convergence of multiple trigonometric series and spectral decompositions II. Zbl 0376.42002
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
8
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.
8
2010
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.
7
1983
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.
7
2009
Notwendige und hinreichende Bedingungen der Basiseigenschaft und der Äquikonvergenz mit der Fourierreihe von Spektralentwicklungen. I, II. Zbl 0449.42025
Il’in, V. A.
7
1980
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.
6
1987
The wave equation with a boundary control at both endpoints on an arbitrary time interval. Zbl 0982.93043
Il’in, V. A.
6
1999
Problems of localization and convergence for Fourier series in fundamental systems of functions of the Laplace operator. Zbl 0189.35702
Il’in, V. A.
6
1968
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.
6
2008
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.
6
1991
Über die Konvergenz von Entwicklungen nach Eigenfunktionen der Koeffizienten eines Differentialoperators in Unstetigkeitspunkten. Zbl 0364.34011
Il’in, V. A.
6
1977
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.
6
2007
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.
6
2012
The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088
Il’in, V. A.; Moiseev, E. I.
5
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.
5
1994
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.
5
2001
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.
5
2007
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.
5
1979
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.
5
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.
4
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.
4
2004
Fragen der Konvergenz mehrfacher trigonometrischer Reihen und Spektralentwicklungen. Zbl 0345.42005
Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M.
4
1976
Boundary control of vibrations at one end, with the other end being fixed. Zbl 1043.93525
Il’in, V. A.
4
1999
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.
4
1975
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.
4
2002
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.
4
1989
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.
4
1995
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.
4
1979
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.
4
2014
Mathematical analysis. I: Beginning of the course. Textbook. (Matematicheskij analiz. I: Nachal’nyj kurs. Uchebnik). 2nd ed., rev. Zbl 0644.26001
Il’in, V. A.; Sadovnichij, V. A.; Sendov, Bl. Kh.
3
1985
Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments. Zbl 1357.74049
Il’in, V. A.
3
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.
3
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.
3
2009
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.
3
1970
The wave equation with a boundary control at one endpoint and with the other endpoint being fixed. Zbl 0980.35033
Il’in, V. A.
3
1999
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.
3
1998
On the solvability of the Dirichlet and Neumann problems for a linear elliptic operator with discontinuous coefficients. Zbl 0104.32402
Il’in, V. A.
3
1961
Über Fourierreihen nach Fundamentalsystemen von Funktionen des Beltramischen Operators. Zbl 0184.32602
Il’in, V. A.
3
1969
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.
3
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.
3
2007
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.
3
1995
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.
3
1996
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.
3
1976
On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059
Il’in, V. A.; Moiseev, E. I.
3
1992
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.
3
2008
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.
3
2007
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.
3
2008
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.
3
2010
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.
3
2012
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.
2
1987
Spectral theory of differential operators. Self-adjoint differential operators. Transl. from the Russian. Zbl 0874.35002
Il’in, V. A.
2
1995
Optimization of the boundary displacement control of vibrations of a rod consisting of two dissimilar parts. Zbl 1251.49004
Il’in, V. A.
2
2011
Boundary control optimization for the vibrations of a rod consisting of two different segments. Zbl 1229.49005
Il’in, V. A.
2
2011
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.
2
2009
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.
2
1998
Optimal boundary control of a string by an elastic force applied at one end, the other end being free. Zbl 1080.93009
Il’in, V. A.; Moiseev, E. I.
2
2005
Über die Konvergenz der Entwicklungen nach Eigenfunktionen des Laplaceschen Operators. Zbl 0079.29201
Il’in, V. A.
2
1958
Kerne gebrochener Ordnung. Zbl 0078.28001
Il’in, V. A.
2
1957
Im abgeschlossenen Bereich gleichmäßige Abschätzungen für die Eigenfunktionen eines elliptischen Operators und ihrer Ableitungen. Zbl 0095.08201
Il’in, V. A.; Shishmarev, I. A.
2
1960
A system of classical eigenfunctions for a linear self-adjoint elliptic operator with discontinuous coefficients. Zbl 0104.32501
Il’in, V. A.
2
1961
Die Potentialmethode für das Dirichletsche und das Neumannsche Problem für den Fall von Gleichungen mit unstetigen Koeffizienten. Zbl 0112.33203
Il’in, V. A.; Shishmarev, I. A.
2
1961
The Fourier method for a hyperbolic equation with discontinuous coefficients. Zbl 0154.36001
Il’in, V. A.
2
1962
Necessary and sufficient conditions for a subsystem of the eigen- and associated functions of a Keldys bundle of ordinary differential operators to be a basis. Zbl 0352.34026
Il’in, V. A.
2
1976
The Riesz base of a spectral problem with infinitely multiple eigen- values. Zbl 0583.47025
Barnovská, M.; Il’in, V. A.
2
1985
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.
2
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.
2
1988
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.
2
1990
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.
2
1996
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.
2
1996
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.
2
1975
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.
2
2008
Dynamics of electroconvective structures in a weakly conducting liquid. Zbl 1271.76379
Il’in, V. A.; Smorodin, B. L.
2
2008
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.
2
2010
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.
2
2012
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.
2
2013
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
1
1986
The model of electric connection of a low-conductivity liquid in high-frequency electric field. Zbl 1393.76136
Il’in, V. A.; Ponomareva, L. A.
1
2018
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.
4
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.
2
2013
Vasilii Sergeevich Vladimirov (obituary). Zbl 1266.01041
Volovich, I. V.; Il’in, V. A.; Kozlov, V. V.; Logunov, A. A.; Marchuk, G. I.; Matveev, V. A.; Osipov, Yu S.; Paton, B. E.; Sadovnichii, V. A.
1
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.
6
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.
3
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.
2
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.
1
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.
3
2011
Optimization of the boundary displacement control of vibrations of a rod consisting of two dissimilar parts. Zbl 1251.49004
Il’in, V. A.
2
2011
Boundary control optimization for the vibrations of a rod consisting of two different segments. Zbl 1229.49005
Il’in, V. A.
2
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.
8
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.
3
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.
2
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.
1
2010
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.
8
2009
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.
7
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.
3
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.
3
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.
2
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.
1
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.
1
2009
Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1194.35229
Il’in, V. A.
9
2008
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.
6
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.
3
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.
3
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.
2
2008
Dynamics of electroconvective structures in a weakly conducting liquid. Zbl 1271.76379
Il’in, V. A.; Smorodin, B. L.
2
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.
1
2008
Uniqueness theorems for generalized solutions to four mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1187.35175
Il’in, V. A.
1
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.
6
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.
5
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.
5
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.
4
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.
3
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.
3
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.
3
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.
1
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.
11
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.
9
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.
9
2006
Optimization of boundary controls of string vibrations. Zbl 1145.35338
Il’in, V. A.; Moiseev, E. I.
35
2005
Optimal boundary control of a string by an elastic force applied at one end, the other end being free. Zbl 1080.93009
Il’in, V. A.; Moiseev, E. I.
2
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.
4
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.
1
2004
Properties of spectral expansions corresponding to non-self-adjoint differential operators. Zbl 1066.47044
Il’in, V. A.; Kritskov, L. V.
27
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.
4
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.
1
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.
5
2001
Boundary control of spherically symmetric oscillations of a three-dimensional ball. Zbl 1032.93028
Il’in, V. A.
1
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.
1
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.
35
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.
24
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.
10
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.
14
1999
The wave equation with a boundary control at both endpoints on an arbitrary time interval. Zbl 0982.93043
Il’in, V. A.
6
1999
Boundary control of vibrations at one end, with the other end being fixed. Zbl 1043.93525
Il’in, V. A.
4
1999
The wave equation with a boundary control at one endpoint and with the other endpoint being fixed. Zbl 0980.35033
Il’in, V. A.
3
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.
1
1999
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.
3
1998
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.
2
1998
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.
3
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.
2
1996
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.
2
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.
4
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.
3
1995
Spectral theory of differential operators. Self-adjoint differential operators. Transl. from the Russian. Zbl 0874.35002
Il’in, V. A.
2
1995
A uniform estimate over the entire line \(\mathbb{R}\) for the deviation of a function from its spectral expansion related to a Schrödinger operator with bounded measurable potential. Zbl 0865.34069
Il’in, V. A.; Antoniou, I.
1
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.
5
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.
5
1994
On some nonclassical features of a spectral problem for an elliptic operator with the condition that the oblique derivative be equal to zero. Zbl 0828.35087
Il’in, V. A.; Moiseev, E. I.
1
1993
On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059
Il’in, V. A.; Moiseev, E. I.
3
1992
Spectral theory of differential operators. Selfadjoint differential operators. (Spektral’naya teoriya differentsial’nykh operatorov. Samosopryazhennye differentsial’nye operatory.) Zbl 0759.47026
Il’in, V. A.
25
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.
6
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.
1
1991
A mean value formula for root functions of the Schrödinger operator. Zbl 0738.35016
Il’in, V. A.; Moiseev, E. I.
1
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.
18
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.
2
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.
4
1989
Basis property of the system of root functions of nonselfadjoint operators and the integrability of the nonlinear evolution equations, associated through the Lax representation. Zbl 0954.37500
Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I.
1
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.
12
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.
2
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.
2
1988
Analytic geometry. Textbook. 4th ed., compl. (Analiticheskaya geometriya. Uchebnoe posobie.) Zbl 0634.51002
Il’in, V. A.; Poznyak, Eh. G.
1
1988
Nonlocal boundary-value problem of the second kind for a Sturm-Liouville operator. Zbl 0668.34024
Il’in, V. A.; Moiseev, E. I.
230
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.
159
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.
16
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.
6
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.
2
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.
11
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
1
1986
Mathematical analysis. I: Beginning of the course. Textbook. (Matematicheskij analiz. I: Nachal’nyj kurs. Uchebnik). 2nd ed., rev. Zbl 0644.26001
Il’in, V. A.; Sadovnichij, V. A.; Sendov, Bl. Kh.
3
1985
The Riesz base of a spectral problem with infinitely multiple eigen- values. Zbl 0583.47025
Barnovská, M.; Il’in, V. A.
2
1985
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.
7
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.
1
1983
A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028
Il’in, V. A.; Moiseev, E. I.
9
1981
Notwendige und hinreichende Bedingungen der Basiseigenschaft und der Äquikonvergenz mit der Fourierreihe von Spektralentwicklungen. I, II. Zbl 0449.42025
Il’in, V. A.
7
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.
1
1980
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.
5
1979
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.
4
1979
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14 Abstract and Applied Analysis
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1 Studia Mathematica
1 The Mathematical Intelligencer
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Gaṇita
1 Journal of Differential Equations
1 Manuscripta Mathematica
1 Le Matematiche
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Tôhoku Mathematical Journal. Second Series
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Bulletin of the Iranian Mathematical Society
1 Discrete Mathematics and Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 51 more Serials

Citations by Year

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