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
|
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. |
|
1994
|
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A. |
|
2003
|
Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019
Shkalikov, A. A. |
|
1986
|
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A. |
|
2010
|
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A. |
|
2014
|
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
|
Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021
Shkalikov, A. A. |
|
2016
|
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A. |
|
2006
|
The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions. Zbl 0565.34020
Shkalikov, A. A. |
|
1982
|
Self\(adjoint\) quadratic operator pencils and elliptic problems. Zbl 0531.47017
Kostyuchenko, A. G.; Shkalikov, A. A. |
|
1983
|
Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036
Neiman-Zade, M. I.; Shkalikov, A. A. |
|
1999
|
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A. |
|
2005
|
Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009
Shkalikov, A. A. |
|
1996
|
Spectral decomposition of symmetric operator matrices. Zbl 0874.47009
Mennicken, Reinhard; Shkalikov, Andrey A. |
|
1996
|
Differential operators of even order with distribution coefficients. Zbl 1394.47046
Mirzoev, Karahan A.; 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
|
Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018
Shkalikov, A. A. |
|
2003
|
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang |
|
1993
|
A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023
Ben Amara, J.; Shkalikov, A. A. |
|
1999
|
Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024
Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A. |
|
2009
|
Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane |
|
1996
|
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A. |
|
2017
|
On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021
Shkalikov, A. A. |
|
2010
|
Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019
Shkalikov, A. A. |
|
1983
|
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A. |
|
2008
|
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
|
Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065
Shkalikov, A. A.; Vladykina, V. E. |
|
2015
|
The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071
Shkalikov, A. A. |
|
1997
|
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 a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094
Dyachenko, A. V.; Shkalikov, A. A. |
|
2002
|
Strongly elliptic operators with singular coefficients. Zbl 1173.35429
Neiman-Zade, M. I.; Shkalikov, A. A. |
|
2006
|
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
|
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
|
Über die Basiseigenschaften der Eigenfunktionen eines gewöhnlichen Differentialoperators. Zbl 0438.34021
Shkalikov, A. A. |
|
1979
|
The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions. Zbl 0354.34023
Shkalikov, A. A. |
|
1977
|
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A. |
|
2020
|
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A. |
|
2017
|
Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083
Shkalikov, A. A. |
|
1990
|
Regular and completely regular differential operators. Zbl 1156.34075
Shiryaev, E. A.; Shkalikov, A. A. |
|
2007
|
Spectral properties of ordinary differential operators with involution. Zbl 1418.34156
Vladykina, V. E.; Shkalikov, A. A. |
|
2019
|
Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029
Bak, Dzh.-G.; Shkalikov, A. A. |
|
2002
|
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
|
Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021
Shkalikov, A. A. |
|
1984
|
Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010
Shkalikov, A. A. |
|
1989
|
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A. |
|
2014
|
Regular ordinary differential operators with involution. Zbl 1443.34064
Vladykina, V. E.; Shkalikov, A. A. |
|
2019
|
On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031
Shkalikov, A. A.; Griniv, R. O. |
|
1994
|
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane |
|
2003
|
Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042
Griniv, R. O.; Shkalikov, A. A. |
|
2003
|
Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249
Shkalikov, A. A. |
|
2019
|
Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032
Pokotilo, V. I.; Shkalikov, A. A. |
|
2009
|
Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011
Shkalikov, A. A. |
|
1988
|
Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045
Shkalikov, A. A. |
|
2007
|
Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069
Ben Amara, J.; Shkalikov, A. A. |
|
2009
|
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
|
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
|
Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035
Belyaev, Alexei A.; Shkalikov, A. A. |
|
2017
|
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
|
On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016
Shkalikov, A. A.; Tumanov, S. N. |
|
2002
|
Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057
Hryniv, R. O.; Shkalikov, A. A. |
|
2004
|
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
|
Some questions of the theory of polynomial operator pencils. Zbl 0527.47012
Shkalikov, A. A. |
|
1983
|
On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017
Shkalikov, A. A. |
|
1988
|
Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536
Griniv, R. O.; Shkalikov, A. A. |
|
1999
|
Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005
Shkalikov, A. A. |
|
2005
|
Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066
Shkalikov, A. A. |
|
1996
|
Spectral analysis of the {R}egge problem. Zbl 1186.34126
Shkalikov, A. A. |
|
2001
|
Estimates of meromorphic functions and summability theorems. Zbl 0521.47012
Shkalikov, A. A. |
|
1982
|
On stability of closedness and self-adjointness for \(2\times2\) operator matrices. Zbl 06701382
Shkalikov, A. A.; Trunk, Carsten |
|
2016
|
Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005
Belyaev, A. A.; Shkalikov, A. A. |
|
2019
|
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A. |
|
2013
|
Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032
Shkalikov, A. A. |
|
2012
|
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
|
On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020
Shkalikov, A. A. |
|
1999
|
Über ein System von Funktionen. Zbl 0321.42013
Skalikov, A. A. |
|
1975
|
Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014
Shkalikov, A. A. |
|
1988
|
Compact perturbations of strongly damped operator pencils. Zbl 0711.47012
Shkalikov, A. A.; Pliev, V. T. |
|
1989
|
Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Zbl 0565.30025
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
|
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
|
Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations. Zbl 1494.34088
Shkalikov, A. A. |
|
2021
|
Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations. Zbl 1494.34087
Kosarev, A. P.; Shkalikov, A. A. |
|
2021
|
Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012
Shkalikov, A. A. |
|
1981
|
Über die Summierbarkeit von Entwicklungen nach Eigenfunktionen von Differential- und Faltungsoperatoren. Zbl 0394.34018
Kostyuchenko, A. G.; Shkalikov, A. A. |
|
1978
|
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
|
Regular spectral problems for systems of ordinary differential equations of the first order. Zbl 1495.34115
Shkalikov, Andrei A. |
|
2021
|
Spectral analysis of the Redge problem. Zbl 1282.34091
Shkalikov, A. A. |
|
2007
|
A system of functions. Zbl 0326.42010
Skalikov, A. A. |
|
1976
|
On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019
Shkalikov, A. A. |
|
1985
|
Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037
Shkalikov, A. A. |
|
2004
|
A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014
Shkalikov, A. A.; Shkred, A. V. |
|
1991
|
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
|
The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053
Shkalikov, A. A.; Shkred, A. V. |
|
1992
|
How to define the Orr-Sommerfeld operator? Zbl 1029.47503
Shkalikov, A. A. |
|
1998
|
Asymptotics of solutions of two-term differential equations. Zbl 1519.34057
Konechnaja, N. N.; Mirzoev, K. A.; Shkalikov, A. A. |
|
2023
|
On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. Zbl 1517.81051
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Shkalikov, A. A. |
|
2022
|
Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations. Zbl 1494.34088
Shkalikov, A. A. |
|
2021
|
Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations. Zbl 1494.34087
Kosarev, A. P.; Shkalikov, A. A. |
|
2021
|
Regular spectral problems for systems of ordinary differential equations of the first order. Zbl 1495.34115
Shkalikov, Andrei A. |
|
2021
|
On oscillation properties of self-adjoint boundary value problems of fourth order. Zbl 1491.34050
Vladimirov, A. A.; Shkalikov, A. A. |
|
2021
|
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A. |
|
2020
|
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
|
Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249
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
|
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A. |
|
2017
|
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; 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
|
Unconditional bases of subspaces related to non-self-adjoint perturbations of self-adjoint operators. Zbl 1463.47044
Motovilov, Aleksandr Konstantinovich; Shkalikov, Andreĭ Andreevich |
|
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
|
On stability of closedness and self-adjointness for \(2\times2\) operator matrices. Zbl 06701382
Shkalikov, A. A.; Trunk, Carsten |
|
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
|
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
|
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
|
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 [July 7, 1914 – April 4, 2006]. 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
|
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane |
|
2003
|
Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042
Griniv, R. O.; Shkalikov, A. A. |
|
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 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 the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016
Shkalikov, A. A.; Tumanov, S. N. |
|
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 periodic differential operator matrices of mixed order. Zbl 1064.34074
Hryniv, R.; Shkalikov, A.; Vladimirov, A. |
|
2002
|
Spectral analysis of the {R}egge problem. Zbl 1186.34126
Shkalikov, A. A. |
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2001
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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. |
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2000
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Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A. |
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1999
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Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036
Neiman-Zade, M. I.; Shkalikov, A. A. |
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1999
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A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023
Ben Amara, J.; Shkalikov, A. A. |
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1999
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Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536
Griniv, R. O.; Shkalikov, A. A. |
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1999
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On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020
Shkalikov, A. A. |
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1999
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On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Zbl 0892.34019
Mennicken, R.; Schmid, H.; Shkalikov, A. A. |
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1998
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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. |
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1998
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How to define the Orr-Sommerfeld operator? Zbl 1029.47503
Shkalikov, A. A. |
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1998
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Factorization of elliptic pencils and the Mandelstam hypothesis. Zbl 0919.47013
Shkalikov, A. A. |
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1998
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The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071
Shkalikov, A. A. |
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1997
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Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009
Shkalikov, A. A. |
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1996
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Spectral decomposition of symmetric operator matrices. Zbl 0874.47009
Mennicken, Reinhard; Shkalikov, Andrey A. |
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1996
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Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane |
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1996
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Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066
Shkalikov, A. A. |
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1996
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On the essential spectrum of matrix operators. Zbl 0871.47005
Shkalikov, A. A. |
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1995
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The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. |
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1994
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Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane |
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1994
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Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A. |
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1994
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On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031
Shkalikov, A. A.; Griniv, R. O. |
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1994
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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. |
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1994
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Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang |
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1993
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Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction. Zbl 0794.73034
Shkalikov, A. A. |
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1993
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The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053
Shkalikov, A. A.; Shkred, A. V. |
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1992
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A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014
Shkalikov, A. A.; Shkred, A. V. |
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1991
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Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083
Shkalikov, A. A. |
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1990
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Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023
Shkalikov, A. A. |
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1989
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Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010
Shkalikov, A. A. |
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1989
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Compact perturbations of strongly damped operator pencils. Zbl 0711.47012
Shkalikov, A. A.; Pliev, V. T. |
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1989
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Compact perturbations of overdamped operator pencils. Zbl 0677.47011
Shkalikov, A. A.; Pliev, V. T. |
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1989
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Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011
Shkalikov, A. A. |
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1988
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On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017
Shkalikov, A. A. |
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1988
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Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014
Shkalikov, A. A. |
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1988
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Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019
Shkalikov, A. A. |
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1986
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Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Zbl 0565.30025
Shkalikov, A. A. |
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1985
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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. |
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1985
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On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019
Shkalikov, A. A. |
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1985
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Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021
Shkalikov, A. A. |
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1984
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Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033
Shkalikov, A. A. |
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1984
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Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020
Shkalikov, A. A. |
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1984
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Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014
Shkalikov, A. A. |
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1983
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...and 16 more Documents |