# zbMATH — the first resource for mathematics

## Shkalikov, Andreĭ Andreevich

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 Author ID: shkalikov.andrei-andreevich Published as: Shalikov, Andrey A.; Shkalikov, A.; Shkalikov, A. A.; Shkalikov, Andrei; Shkalikov, Andrei A.; Shkalikov, Andrey A.; Shkalikov, Andreĭ Andreevich; Skalikov, A. A. External Links: MGP · Math-Net.Ru · Wikidata · GND
 Documents Indexed: 132 Publications since 1975 Biographic References: 2 Publications
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#### Serials

 31 Mathematical Notes 11 Functional Analysis and its Applications 9 Russian Mathematical Surveys 7 Moscow University Mathematics Bulletin 5 Mathematische Nachrichten 5 Soviet Mathematics. Doklady 4 Russian Journal of Mathematical Physics 4 Doklady Mathematics 3 Transactions of the Moscow Mathematical Society 3 Mathematics of the USSR, Sbornik 3 Journal of Mathematical Sciences (New York) 3 Proceedings of the Steklov Institute of Mathematics 2 Matematicheskie Zametki 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Integral Equations and Operator Theory 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Trudy Seminara Imeni I. G. Petrovskogo 2 Fundamental’naya i Prikladnaya Matematika 2 Differential Equations 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Pacific Journal of Mathematics 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Studia Scientiarum Mathematicarum Hungarica 1 Transactions of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Matematicheskiĭ Sbornik 1 The Canadian Applied Mathematics Quarterly 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Methods of Functional Analysis and Topology 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Eurasian Mathematical Journal
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#### Fields

 79 Operator theory (47-XX) 61 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 13 Functional analysis (46-XX) 11 History and biography (01-XX) 8 Mechanics of deformable solids (74-XX) 7 Functions of a complex variable (30-XX) 5 Sequences, series, summability (40-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

106 Publications have been cited 1,129 times in 717 Documents Cited by Year
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A.
1999
Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014
Shkalikov, A. A.
1983
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A.
2003
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A.
1994
Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019
Shkalikov, A. A.
1986
On the basis problem of the eigenfunctions of an ordinary differential operator. Zbl 0471.34014
Shkalikov, A. A.
1979
On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems. Zbl 1190.34111
Shkalikov, A. A.; Veliev, O. A.
2009
Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023
Shkalikov, A. A.
1989
On the essential spectrum of matrix operators. Zbl 0871.47005
Shkalikov, A. A.
1995
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A.
2006
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A.
2014
Spectral decomposition of symmetric operator matrices. Zbl 0874.47009
Mennicken, Reinhard; Shkalikov, Andrey A.
1996
The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions. Zbl 0565.34020
Shkalikov, A. A.
1982
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A.
2010
Self$$adjoint$$ quadratic operator pencils and elliptic problems. Zbl 0531.47017
Kostyuchenko, A. G.; Shkalikov, A. A.
1983
Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021
Shkalikov, A. A.
2016
On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Zbl 0892.34019
Mennicken, R.; Schmid, H.; Shkalikov, A. A.
1998
Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009
Shkalikov, A. A.
1996
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
1993
Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036
Neiman-Zade, M. I.; Shkalikov, A. A.
1999
On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021
Shkalikov, A. A.
2010
Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018
Shkalikov, A. A.
2003
Spectral analysis for linear pencils $$N-\lambda P$$ of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane
1996
Bounds on variation of spectral subspaces under $$J$$-self-adjoint perturbations. Zbl 1197.47024
Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A.
2009
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A.
2005
Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane
1994
The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions. Zbl 0354.34023
Shkalikov, A. A.
1977
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A.
2008
On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile. Zbl 1056.34092
Shkalikov, A. A.; Tumanov, S. N.
2002
A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023
Ben Amara, J.; Shkalikov, A. A.
1999
Regular and completely regular differential operators. Zbl 1156.34075
Shiryaev, E. A.; Shkalikov, A. A.
2007
Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029
Bak, Dzh.-G.; Shkalikov, A. A.
2002
The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071
Shkalikov, A. A.
1997
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
1994
Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083
Shkalikov, A. A.
1990
Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021
Shkalikov, A. A.
1984
Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042
Griniv, R. O.; Shkalikov, A. A.
2003
On the stability of a top with a cavity filled with a viscous fluid. Zbl 0960.76037
Kostyuchenko, A. G.; Shkalikov, A. A.; Yurkin, M. Yu.
1998
Differential operators of even order with distribution coefficients. Zbl 1394.47046
Mirzoev, Karahan A.; Shkalikov, A. A.
2016
Spectral and oscillatory properties of a linear pencil of fourth-order differential operators. Zbl 1283.34075
Ben Amara, J.; Shkalikov, A. A.; Vladimirov, A. A.
2013
Strongly elliptic operators with singular coefficients. Zbl 1173.35429
Neiman-Zade, M. I.; Shkalikov, A. A.
2006
On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031
Shkalikov, A. A.; Griniv, R. O.
1994
Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010
Shkalikov, A. A.
1989
Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019
Shkalikov, A. A.
1983
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A.
2017
Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065
Shkalikov, A. A.; Vladykina, V. E.
2015
The $$n$$-fold basis property of the characteristic functions of certain regular boundary-value problems. Zbl 0358.34022
Orazov, M. B.; Skalikov, A. A.
1977
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A.
2017
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A.
2014
Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045
Shkalikov, A. A.
2007
Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011
Shkalikov, A. A.
1988
Some questions of the theory of polynomial operator pencils. Zbl 0527.47012
Shkalikov, A. A.
1983
Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014
Savchuk, A. M.; Shkalikov, A. A.
2013
Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032
Pokotilo, V. I.; Shkalikov, A. A.
2009
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane
2003
On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094
Dyachenko, A. V.; Shkalikov, A. A.
2002
On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016
Shkalikov, A. A.; Tumanov, S. N.
2002
Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066
Shkalikov, A. A.
1996
On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017
Shkalikov, A. A.
1988
Estimates of meromorphic functions and summability theorems. Zbl 0521.47012
Shkalikov, A. A.
1982
Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249
Shkalikov, A. A.
2019
Spectral properties of ordinary differential operators with involution. Zbl 1418.34156
Vladykina, V. E.; Shkalikov, A. A.
2019
On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. Zbl 1403.34060
Konechnaya, N. N.; Mirzoev, K. A.; Shkalikov, A. A.
2018
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A.
2013
Asymptotics of eigenvalues of a second-order non-self-adjoint differential operator on the axis. Zbl 1315.34095
Kusainova, L. K.; Monashova, A. Zh.; Shkalikov, A. A.
2013
Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032
Shkalikov, A. A.
2012
Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069
Ben Amara, J.; Shkalikov, A. A.
2009
Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005
Shkalikov, A. A.
2005
Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057
Hryniv, R. O.; Shkalikov, A. A.
2004
Spectral analysis of the Regge problem. Zbl 1186.34126
Shkalikov, A. A.
2001
On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020
Shkalikov, A. A.
1999
The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053
Shkalikov, A. A.; Shkred, A. V.
1992
A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014
Shkalikov, A. A.; Shkred, A. V.
1991
Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014
Shkalikov, A. A.
1988
On the minimality of the derivative chains corresponding to the part of eigen and associated elements of selfadjoint operator pencils. Zbl 0591.47014
Shkalikov, A. A.
1985
Über die Summierbarkeit von Entwicklungen nach Eigenfunktionen von Differential- und Faltungsoperatoren. Zbl 0394.34018
Kostyuchenko, A. G.; Shkalikov, A. A.
1978
Über ein System von Funktionen. Zbl 0321.42013
Skalikov, A. A.
1975
Regular ordinary differential operators with involution. Zbl 1443.34064
Vladykina, V. E.; Shkalikov, A. A.
2019
Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005
Belyaev, A. A.; Shkalikov, A. A.
2019
Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035
Belyaev, Alexei A.; Shkalikov, A. A.
2017
The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential. Zbl 1337.34028
Tumanov, S. N.; Shkalikov, A. A.
2015
Spectral analysis of the Redge problem. Zbl 1282.34091
Shkalikov, A. A.
2007
Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037
Shkalikov, A. A.
2004
Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536
Griniv, R. O.; Shkalikov, A. A.
1999
How to define the Orr-Sommerfeld operator? Zbl 1029.47503
Shkalikov, A. A.
1998
Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities. Zbl 0819.76100
Mennicken, R.; Schmid, H.; Shkalikov, A. A.
1994
On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019
Shkalikov, A. A.
1985
Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033
Shkalikov, A. A.
1984
Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020
Shkalikov, A. A.
1984
Some problems in the theory of polynomial operator pencils. Zbl 0557.47011
Shkalikov, A. A.
1983
Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012
Shkalikov, A. A.
1981
Über eine n-fache Basis von Eigenfunktionen bei einigen regulären Randwertproblemen. Zbl 0338.34018
Orazov, M. B.; Shkalikov, A. A.
1976
A system of functions. Zbl 0326.42010
Skalikov, A. A.
1976
Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. Zbl 1436.46012
Motovilov, A. K.; Shkalikov, A. A.
2019
A note on reverses of the Young type inequalities via Kantorovich constant. Zbl 1413.47024
Nasiri, Leila; Shkalikov, Andrei A.; Shakoori, Mahmood
2018
On perturbation theory for points of discrete spectrum of dissipative operator functions. Zbl 1178.47008
Shkalikov, A. A.
2009
In memory of Boris Levitan. Zbl 1118.01308
Kostyuchenko, A. G.; Maslov, V. P.; Sadovnichii, V. A.; Sargsyan, I. S.; Shkalikov, A. A.; Zhikov, V. V.
2006
Spectral analysis of periodic differential operator matrices of mixed order. Zbl 1064.34074
Hryniv, R.; Shkalikov, A.; Vladimirov, A.
2002
On the computing of the eigenvalues of the Orr-Sommerfeld problem. Zbl 1052.65069
Neiman-zade, M. I.; Shkalikov, A. A.
2002
An operator model for the oscillation problem of liquids on an elastic bottom. Zbl 0973.35140
Griniv, R. O.; Dobrokhotov, S. Yu.; Shkalikov, A. A.
2000
Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249
Shkalikov, A. A.
2019
Spectral properties of ordinary differential operators with involution. Zbl 1418.34156
Vladykina, V. E.; Shkalikov, A. A.
2019
Regular ordinary differential operators with involution. Zbl 1443.34064
Vladykina, V. E.; Shkalikov, A. A.
2019
Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005
Belyaev, A. A.; Shkalikov, A. A.
2019
Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. Zbl 1436.46012
Motovilov, A. K.; Shkalikov, A. A.
2019
On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. Zbl 1403.34060
Konechnaya, N. N.; Mirzoev, K. A.; Shkalikov, A. A.
2018
A note on reverses of the Young type inequalities via Kantorovich constant. Zbl 1413.47024
Nasiri, Leila; Shkalikov, Andrei A.; Shakoori, Mahmood
2018
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A.
2017
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A.
2017
Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035
Belyaev, Alexei A.; Shkalikov, A. A.
2017
Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021
Shkalikov, A. A.
2016
Differential operators of even order with distribution coefficients. Zbl 1394.47046
Mirzoev, Karahan A.; Shkalikov, A. A.
2016
Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065
Shkalikov, A. A.; Vladykina, V. E.
2015
The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential. Zbl 1337.34028
Tumanov, S. N.; Shkalikov, A. A.
2015
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A.
2014
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A.
2014
Spectral and oscillatory properties of a linear pencil of fourth-order differential operators. Zbl 1283.34075
Ben Amara, J.; Shkalikov, A. A.; Vladimirov, A. A.
2013
Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014
Savchuk, A. M.; Shkalikov, A. A.
2013
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A.
2013
Asymptotics of eigenvalues of a second-order non-self-adjoint differential operator on the axis. Zbl 1315.34095
Kusainova, L. K.; Monashova, A. Zh.; Shkalikov, A. A.
2013
Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032
Shkalikov, A. A.
2012
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A.
2010
On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021
Shkalikov, A. A.
2010
On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems. Zbl 1190.34111
Shkalikov, A. A.; Veliev, O. A.
2009
Bounds on variation of spectral subspaces under $$J$$-self-adjoint perturbations. Zbl 1197.47024
Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A.
2009
Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032
Pokotilo, V. I.; Shkalikov, A. A.
2009
Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069
Ben Amara, J.; Shkalikov, A. A.
2009
On perturbation theory for points of discrete spectrum of dissipative operator functions. Zbl 1178.47008
Shkalikov, A. A.
2009
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A.
2008
Regular and completely regular differential operators. Zbl 1156.34075
Shiryaev, E. A.; Shkalikov, A. A.
2007
Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045
Shkalikov, A. A.
2007
Spectral analysis of the Redge problem. Zbl 1282.34091
Shkalikov, A. A.
2007
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A.
2006
Strongly elliptic operators with singular coefficients. Zbl 1173.35429
Neiman-Zade, M. I.; Shkalikov, A. A.
2006
In memory of Boris Levitan. Zbl 1118.01308
Kostyuchenko, A. G.; Maslov, V. P.; Sadovnichii, V. A.; Sargsyan, I. S.; Shkalikov, A. A.; Zhikov, V. V.
2006
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A.
2005
Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005
Shkalikov, A. A.
2005
Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057
Hryniv, R. O.; Shkalikov, A. A.
2004
Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037
Shkalikov, A. A.
2004
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A.
2003
Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018
Shkalikov, A. A.
2003
Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042
Griniv, R. O.; Shkalikov, A. A.
2003
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane
2003
On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile. Zbl 1056.34092
Shkalikov, A. A.; Tumanov, S. N.
2002
Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029
Bak, Dzh.-G.; Shkalikov, A. A.
2002
On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094
Dyachenko, A. V.; Shkalikov, A. A.
2002
On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016
Shkalikov, A. A.; Tumanov, S. N.
2002
Spectral analysis of periodic differential operator matrices of mixed order. Zbl 1064.34074
Hryniv, R.; Shkalikov, A.; Vladimirov, A.
2002
On the computing of the eigenvalues of the Orr-Sommerfeld problem. Zbl 1052.65069
Neiman-zade, M. I.; Shkalikov, A. A.
2002
Spectral analysis of the Regge problem. Zbl 1186.34126
Shkalikov, A. A.
2001
An operator model for the oscillation problem of liquids on an elastic bottom. Zbl 0973.35140
Griniv, R. O.; Dobrokhotov, S. Yu.; Shkalikov, A. A.
2000
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A.
1999
Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036
Neiman-Zade, M. I.; Shkalikov, A. A.
1999
A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023
Ben Amara, J.; Shkalikov, A. A.
1999
On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020
Shkalikov, A. A.
1999
Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536
Griniv, R. O.; Shkalikov, A. A.
1999
On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Zbl 0892.34019
Mennicken, R.; Schmid, H.; Shkalikov, A. A.
1998
On the stability of a top with a cavity filled with a viscous fluid. Zbl 0960.76037
Kostyuchenko, A. G.; Shkalikov, A. A.; Yurkin, M. Yu.
1998
How to define the Orr-Sommerfeld operator? Zbl 1029.47503
Shkalikov, A. A.
1998
Factorization of elliptic pencils and the Mandelstam hypothesis. Zbl 0919.47013
Shkalikov, A. A.
1998
The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071
Shkalikov, A. A.
1997
Spectral decomposition of symmetric operator matrices. Zbl 0874.47009
Mennicken, Reinhard; Shkalikov, Andrey A.
1996
Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009
Shkalikov, A. A.
1996
Spectral analysis for linear pencils $$N-\lambda P$$ of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane
1996
Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066
Shkalikov, A. A.
1996
On the essential spectrum of matrix operators. Zbl 0871.47005
Shkalikov, A. A.
1995
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A.
1994
Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane
1994
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
1994
On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031
Shkalikov, A. A.; Griniv, R. O.
1994
Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities. Zbl 0819.76100
Mennicken, R.; Schmid, H.; Shkalikov, A. A.
1994
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
1993
Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction. Zbl 0794.73034
Shkalikov, A. A.
1993
The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053
Shkalikov, A. A.; Shkred, A. V.
1992
A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014
Shkalikov, A. A.; Shkred, A. V.
1991
Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083
Shkalikov, A. A.
1990
Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023
Shkalikov, A. A.
1989
Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010
Shkalikov, A. A.
1989
Compact perturbations of overdamped operator pencils. Zbl 0677.47011
Shkalikov, A. A.; Pliev, V. T.
1989
Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011
Shkalikov, A. A.
1988
On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017
Shkalikov, A. A.
1988
Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014
Shkalikov, A. A.
1988
Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019
Shkalikov, A. A.
1986
On the minimality of the derivative chains corresponding to the part of eigen and associated elements of selfadjoint operator pencils. Zbl 0591.47014
Shkalikov, A. A.
1985
On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019
Shkalikov, A. A.
1985
Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Zbl 0565.30025
Shkalikov, A. A.
1985
Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021
Shkalikov, A. A.
1984
Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033
Shkalikov, A. A.
1984
Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020
Shkalikov, A. A.
1984
Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014
Shkalikov, A. A.
1983
Self$$adjoint$$ quadratic operator pencils and elliptic problems. Zbl 0531.47017
Kostyuchenko, A. G.; Shkalikov, A. A.
1983
Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019
Shkalikov, A. A.
1983
Some questions of the theory of polynomial operator pencils. Zbl 0527.47012
Shkalikov, A. A.
1983
Some problems in the theory of polynomial operator pencils. Zbl 0557.47011
Shkalikov, A. A.
1983
Kostyuchenko, A. G.; Shkalikov, A. A.
1983
The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions. Zbl 0565.34020
Shkalikov, A. A.
1982
Estimates of meromorphic functions and summability theorems. Zbl 0521.47012
Shkalikov, A. A.
1982
Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012
Shkalikov, A. A.
1981
On the basis problem of the eigenfunctions of an ordinary differential operator. Zbl 0471.34014
Shkalikov, A. A.
1979
Über die Basiseigenschaften der Eigenfunktionen eines gewöhnlichen Differentialoperators. Zbl 0438.34021
Shkalikov, A. A.
1979
...and 6 more Documents
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#### Cited by 637 Authors

 46 Shkalikov, Andreĭ Andreevich 18 Jeribi, Aref 18 Savchuk, Artem M. 18 Tretter, Christiane 16 Akhtyamov, Azamat Moukhtarovich 13 Mityagin, Boris Samuilovich 13 Veliev, Oktay Alish 13 Wang, Junmin 12 Malamud, Mark M. 12 Vlasov, Viktor Valentinovich 10 Möller, Manfred 10 Motovilov, Aleksandr Konstantinovich 10 Sadovnichiĭ, Viktor Antonovich 10 Sultanaev, Yaudat Talgatovich 9 Aliyev, Ziyatkhan S. 9 Freiling, Gerhard 9 Kerimov, Nazim B. 9 Kostenko, Aleksey S. 9 Mennicken, Reinhard 9 Vladimirov, Anton A. 8 Albeverio, Sergio A. 8 Aliev, Araz R. 8 Djakov, Plamen B. 8 Kappeler, Thomas 8 Langer, Heinz 8 Mirzoev, Karakhan Agakhan 8 Rautian, Nadegda Aleksandrovna 8 Sadovnichaya, I. V. 7 Eckhardt, Jonathan 7 Moalla, Nedra 7 Mukhtarov, Oktay Sh. 7 Xu, Gen-Qi 7 Yurko, Vjacheslav Anatoljevich 6 Ammar, Aymen 6 Ben Amara, Jamel 6 Bruk, Vladislav Moiseevich 6 Guo, Bao-Zhu 6 Hryniv, Rostyslav O. 6 Kritskov, Leonid V. 6 Shafarevich, Andreĭ Igorevich 6 Siegl, Petr 6 Topalov, Peter J. 6 Trunk, Carsten 5 Gesztesy, Fritz 5 Güldü, Yalçın 5 Ishkin, Khabir Kabirovich 5 Kanguzhin, Baltabek Esmatovich 5 Kapustin, N. Yu 5 Konechnaya, Natal’ya Nikolaevna 5 Kozlov, Valeriĭ Vasil’evich 5 Krichen, Bilel 5 Langer, Matthias 5 Lunyov, Anton A. 5 Mirzoev, Sabir Sultanaga 5 Mitrokhin, Sergeĭ Ivanovich 5 Ozkan, Ahmet Sinan 5 Polyakov, Dmitriĭ Mikhaĭlovich 5 Teschl, Gerald 5 Vladykina, Veronika Evgen’evna 5 Walha, Ines 4 Binding, Paul Anthony 4 Buterin, Sergey Alexandrovich 4 Chen, Shaozhu 4 Imanbaev, Nurlan Sayramovich 4 Kaya, Ufuk 4 Kostyuchenko, Anatolii Gordeevich 4 Lomov, Igor’ Sergeevich 4 Mamedov, Khanlar R. 4 Mazzone, Giusy 4 Pechentsov, A. S. 4 Qi, Jiangang 4 Ran, André C. M. 4 Ugurlu, Ekin 4 Yang, Chuanfu 4 Yung, Siu Pang 3 Akdoğan, Zülfigar 3 Allahverdiev, Bilender Paşaoğlu 3 Baskakov, Anatoliĭ Grigor’evich 3 Behrndt, Jussi 3 Belyaev, Alexei A. 3 Boulton, Lyonell S. 3 Braeutigam, Irina N. 3 Browne, Patrick J. 3 Chen, Alatancang 3 Eryılmaz, Aytekin 3 Esina, A. I. 3 Guo, Yanni 3 Ibrogimov, Orif O. 3 Jovanovic, Vojin T. 3 Keskin, Baki 3 Khanmamedov, Agil Khanmamed ogly 3 Kostin, Andrey B. 3 Kurbanov, Vali M. 3 Lancaster, Peter 3 Makin, Alexander S. 3 Markus, Alexander S. 3 Molnar, Jan-Cornelius 3 Mykytyuk, Yaroslav V. 3 Naboko, Serguei N. 3 Nazarov, Alexander I. ...and 537 more Authors
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#### Cited in 174 Serials

 78 Mathematical Notes 60 Differential Equations 26 Journal of Mathematical Analysis and Applications 24 Journal of Differential Equations 22 Integral Equations and Operator Theory 21 Journal of Mathematical Sciences (New York) 19 Mathematische Nachrichten 19 Doklady Mathematics 18 Functional Analysis and its Applications 15 Journal of Functional Analysis 12 Siberian Mathematical Journal 11 Linear Algebra and its Applications 11 Ufimskiĭ Matematicheskiĭ Zhurnal 10 Journal of Mathematical Physics 10 Mathematical Methods in the Applied Sciences 10 Ukrainian Mathematical Journal 10 Results in Mathematics 9 Transactions of the Moscow Mathematical Society 9 Russian Mathematics 9 Mediterranean Journal of Mathematics 9 Boundary Value Problems 9 Complex Analysis and Operator Theory 8 Proceedings of the Steklov Institute of Mathematics 8 Eurasian Mathematical Journal 7 Theoretical and Mathematical Physics 7 Computational Mathematics and Mathematical Physics 7 Russian Journal of Mathematical Physics 6 Applicable Analysis 6 Moscow University Mathematics Bulletin 6 Russian Mathematical Surveys 5 Proceedings of the American Mathematical Society 5 St. Petersburg Mathematical Journal 5 Central European Journal of Mathematics 5 Analysis and Mathematical Physics 4 Archive for Rational Mechanics and Analysis 4 Israel Journal of Mathematics 4 Linear and Multilinear Algebra 4 Journal of Computational and Applied Mathematics 4 Systems & Control Letters 4 Journal of Inverse and Ill-Posed Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Dynamical and Control Systems 3 Communications in Mathematical Physics 3 Journal of Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 Letters in Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Computation 3 Mathematische Zeitschrift 3 Acta Applicandae Mathematicae 3 Physica D 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 Lobachevskii Journal of Mathematics 3 Journal of Pseudo-Differential Operators and Applications 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Quaestiones Mathematicae 2 Applied Mathematics Letters 2 SIAM Journal on Mathematical Analysis 2 Annales Mathématiques Blaise Pascal 2 Turkish Journal of Mathematics 2 Opuscula Mathematica 2 Izvestiya: Mathematics 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Advances in Difference Equations 2 Operators and Matrices 2 Journal of Spectral Theory 2 Afrika Matematika 2 Carpathian Mathematical Publications 2 Journal of Function Spaces 1 Acta Mechanica 1 International Journal of Control 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Moscow University Mechanics Bulletin 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Archiv der Mathematik 1 BIT 1 Calcolo 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik ...and 74 more Serials
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#### Cited in 38 Fields

 415 Ordinary differential equations (34-XX) 327 Operator theory (47-XX) 140 Partial differential equations (35-XX) 41 Mechanics of deformable solids (74-XX) 37 Quantum theory (81-XX) 32 Fluid mechanics (76-XX) 30 Functional analysis (46-XX) 25 Systems theory; control (93-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Integral equations (45-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Difference and functional equations (39-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

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