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Shkalikov, Andreĭ Andreevich

Author ID: shkalikov.andrei-andreevich Recent zbMATH articles by "Shkalikov, Andreĭ Andreevich"
Published as: Shkalikov, A. A.; Shkalikov, Andrei A.; Shkalikov, A.; Skalikov, A. A.; Shkalikov, Andrey A.; Shkalikov, Andreĭ Andreevich; Shkalikov, Andreĭ A.; Shalikov, Andrey A.; Shkalikov, Andrei
Further Spellings: Шкаликов Андрей Андреевич
External Links: MGP · Wikidata · Math-Net.Ru · GND
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Co-Authors

56 single-authored
16 Savchuk, Artem M.
7 Tumanov, S. N.
6 Kostyuchenko, Anatolii Gordeevich
6 Neĭman-zade, Murad Iskender-ogly
5 Belyaev, Alekseĭ Aleksandrovich
5 Sadovnichiĭ, Viktor Antonovich
4 Mennicken, Reinhard
4 Mirzoev, Karakhan Agakhan
4 Tretter, Christiane
4 Vladimirov, Anton A.
4 Vladykina, Veronika Evgen’evna
3 Bukhshtaber, Viktor Matveevich
3 Geynts, V. L.
3 Griniv, R. O.
3 Hryniv, Rostyslav O.
3 Kashin, Boris Sergeevich
3 Kosarev, A. P.
3 Kozlov, Valeriĭ Vasil’evich
3 Motovilov, Aleksandr Konstantinovich
3 Zhikov, Vasiliĭ Vasil’evich
2 Alkhutov, Yuriy Alexandrovich
2 Dobrokhotov, Sergei Yurievich
2 Konechnaya, Natal’ya Nikolaevna
2 Lancaster, Peter
2 Novikov, Sergeĭ Petrovich
2 Orazov, M. B.
2 Pliev, V. T.
2 Shkred, A. V.
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Treshchev, Dmitriĭ Valer’evich
1 Agranovich, Mikhail Semënovich
1 Albeverio, Sergio A.
1 Aliev, Araz Rafig oglu
1 Amosov, B. A.
1 Anikin, A. Yu.
1 Aslanov, Gamidulla I.
1 Astashova, Irina Viktorovna
1 Atkinson, Frederick Valentine
1 Bak, Dzh.-G.
1 Berezans’kyĭ, Yuriĭ Makarovych
1 Bogachev, Vladimir Igorevich
1 Borodin, Petr A.
1 Butuzov, Valentin Fëdorovich
1 Chechkin, Gregory Aleksandrovich
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Chubarikov, Vladimir Nikolaevich
1 Denisov, Vasiliĭ Nikolaevich
1 Dubinin, Vladimir N.
1 Dyachenko, A. V.
1 Friedlander, L. F.
1 Gadjiev, Akif Djafar oglu
1 Gorbachuk, Myroslav L’vovych
1 Granilshchikova, Ya. A.
1 Guseinov, R. V.
1 Huseynov, Hidayat Mahammad
1 Ibragimov, Il’dar Abdullovich
1 Ismagilov, Rais Sal’manovich
1 Kaliaguine, Valeri A.
1 Kappeler, Thomas
1 Kirillov, Alexandre Aleksandrovich
1 Kolesnikov, Alexander V.
1 Kon’kov, Andrej A.
1 Konyagin, Sergeĭ Vladimirovich
1 Kosov, Egor D.
1 Kusainova, L. K.
1 Langer, Heinz
1 Malamud, Mark M.
1 Marchenko, Vladimir Aleksandrovich
1 Mardanov, Misir Dzhumail ogly
1 Marletta, Marco
1 Maslov, Viktor Pavlovich
1 Mikhalëv, Aleksandr Vasil’evich
1 Mirzoev, Sabir Sultanaga
1 Mityagin, Boris Samuilovich
1 Moiseev, Evgeniĭ Ivanovich
1 Molchanov, Vladimir Fedorovich
1 Monashova, A. Zh.
1 Nasiri, Leila
1 Neretin, Yuriĭ Aleksandrovich
1 Ol’shanskiĭ, Grigoriĭ Iosifovich
1 Orudzhev, Elshar G.
1 Orujov, Gamzaga D.
1 Otelbaev, Mukhtarbaĭ Otelbaevich
1 Pastukhova, Svetlana Evgenievna
1 Pastur, Leonid Andreevich
1 Piatnitski, Andrey L.
1 Pokotilo, V. I.
1 Radkevich, Evgeniĭ Vladimirovich
1 Rofe-Beketov, Fedor Semenovich
1 Rozenblum, Grigori V.
1 Rozov, Nikolaĭ Khristovich
1 Ryzhikov, Valeriĭ Valentinovich
1 Sargsyan, I. S.
1 Sergeev, Armen Glebovich
1 Sergeev, Igor’ Nikolaevich
1 Shakoori, Mahmood
1 Shamaev, Alexei S.
1 Shaposhnikov, Alexander V.
1 Shaposhnikov, Stanislav V.
1 Shiryaev, Al’bert Nikolaevich
...and 17 more Co-Authors
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Serials

36 Mathematical Notes
11 Russian Mathematical Surveys
11 Functional Analysis and its Applications
8 Moscow University Mathematics Bulletin
5 Mathematische Nachrichten
5 Soviet Mathematics. Doklady
5 Doklady Mathematics
4 Russian Journal of Mathematical Physics
4 Journal of Mathematical Sciences (New York)
3 Transactions of the Moscow Mathematical Society
3 Mathematics of the USSR, Sbornik
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 Sbornik: Mathematics
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

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,481 times in 941 Documents Cited by Year
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A.
125
1999
Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014
Shkalikov, A. A.
97
1983
Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019
Shkalikov, A. A.
89
1986
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A.
84
1994
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A.
83
2003
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A.
40
2014
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A.
38
2010
On the basis problem of the eigenfunctions of an ordinary differential operator. Zbl 0471.34014
Shkalikov, A. A.
36
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.
34
2009
On the essential spectrum of matrix operators. Zbl 0871.47005
Shkalikov, A. A.
33
1995
Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021
Shkalikov, A. A.
33
2016
Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023
Shkalikov, A. A.
32
1989
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A.
29
2006
Self\(adjoint\) quadratic operator pencils and elliptic problems. Zbl 0531.47017
Kostyuchenko, A. G.; Shkalikov, A. A.
28
1983
The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions. Zbl 0565.34020
Shkalikov, A. A.
28
1982
Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036
Neiman-Zade, M. I.; Shkalikov, A. A.
25
1999
Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009
Shkalikov, A. A.
22
1996
Spectral decomposition of symmetric operator matrices. Zbl 0874.47009
Mennicken, Reinhard; Shkalikov, Andrey A.
22
1996
On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Zbl 0892.34019
Mennicken, R.; Schmid, H.; Shkalikov, A. A.
21
1998
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
19
1993
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A.
19
2005
Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018
Shkalikov, A. A.
18
2003
Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024
Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A.
17
2009
A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023
Ben Amara, J.; Shkalikov, A. A.
16
1999
On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021
Shkalikov, A. A.
16
2010
Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane
15
1996
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A.
14
2008
Differential operators of even order with distribution coefficients. Zbl 1394.47046
Mirzoev, Karahan A.; Shkalikov, A. A.
14
2016
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A.
14
2017
Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane
12
1994
The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions. Zbl 0354.34023
Shkalikov, A. A.
12
1977
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A.
12
2017
Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021
Shkalikov, A. A.
11
1984
Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010
Shkalikov, A. A.
11
1989
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
11
1994
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.
11
2013
Strongly elliptic operators with singular coefficients. Zbl 1173.35429
Neiman-Zade, M. I.; Shkalikov, A. A.
11
2006
Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029
Bak, Dzh.-G.; Shkalikov, A. A.
11
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.
11
2002
Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019
Shkalikov, A. A.
10
1983
Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083
Shkalikov, A. A.
10
1990
Regular and completely regular differential operators. Zbl 1156.34075
Shiryaev, E. A.; Shkalikov, A. A.
10
2007
Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065
Shkalikov, A. A.; Vladykina, V. E.
10
2015
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A.
10
2014
On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031
Shkalikov, A. A.; Griniv, R. O.
9
1994
The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071
Shkalikov, A. A.
9
1997
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.
9
1998
Spectral properties of ordinary differential operators with involution. Zbl 1418.34156
Vladykina, V. E.; Shkalikov, A. A.
9
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.
9
2018
On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094
Dyachenko, A. V.; Shkalikov, A. A.
9
2002
Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042
Griniv, R. O.; Shkalikov, A. A.
9
2003
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane
8
2003
Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045
Shkalikov, A. A.
7
2007
Regular ordinary differential operators with involution. Zbl 1443.34064
Vladykina, V. E.; Shkalikov, A. A.
7
2019
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A.
7
2020
Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011
Shkalikov, A. A.
6
1988
Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069
Ben Amara, J.; Shkalikov, A. A.
6
2009
Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032
Pokotilo, V. I.; Shkalikov, A. A.
6
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.
6
1977
Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249
Shkalikov, A. A.
6
2019
Some questions of the theory of polynomial operator pencils. Zbl 0527.47012
Shkalikov, A. A.
5
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.
5
2013
On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017
Shkalikov, A. A.
5
1988
On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016
Shkalikov, A. A.; Tumanov, S. N.
5
2002
Estimates of meromorphic functions and summability theorems. Zbl 0521.47012
Shkalikov, A. A.
4
1982
Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066
Shkalikov, A. A.
4
1996
Spectral analysis of the {R}egge problem. Zbl 1186.34126
Shkalikov, A. A.
4
2001
Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057
Hryniv, R. O.; Shkalikov, A. A.
4
2004
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.
4
2013
Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035
Belyaev, Alexei A.; Shkalikov, A. A.
4
2017
Über die Basiseigenschaften der Eigenfunktionen eines gewöhnlichen Differentialoperators. Zbl 0438.34021
Shkalikov, A. A.
3
1979
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.
3
1985
Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014
Shkalikov, A. A.
3
1988
Compact perturbations of strongly damped operator pencils. Zbl 0711.47012
Shkalikov, A. A.; Pliev, V. T.
3
1989
On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020
Shkalikov, A. A.
3
1999
Über die Summierbarkeit von Entwicklungen nach Eigenfunktionen von Differential- und Faltungsoperatoren. Zbl 0394.34018
Kostyuchenko, A. G.; Shkalikov, A. A.
3
1978
Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005
Shkalikov, A. A.
3
2005
Über ein System von Funktionen. Zbl 0321.42013
Skalikov, A. A.
3
1975
Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032
Shkalikov, A. A.
3
2012
Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033
Shkalikov, A. A.
3
1984
Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations. Zbl 1494.34088
Shkalikov, A. A.
3
2021
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.
3
2015
A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014
Shkalikov, A. A.; Shkred, A. V.
2
1991
Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012
Shkalikov, A. A.
2
1981
Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020
Shkalikov, A. A.
2
1984
Some problems in the theory of polynomial operator pencils. Zbl 0557.47011
Shkalikov, A. A.
2
1983
Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Zbl 0565.30025
Shkalikov, A. A.
2
1985
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.
2
2000
The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053
Shkalikov, A. A.; Shkred, A. V.
2
1992
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.
2
1994
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A.
2
2013
Spectral analysis of the Redge problem. Zbl 1282.34091
Shkalikov, A. A.
2
2007
On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019
Shkalikov, A. A.
2
1985
Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037
Shkalikov, A. A.
2
2004
A system of functions. Zbl 0326.42010
Skalikov, A. A.
2
1976
Über eine n-fache Basis von Eigenfunktionen bei einigen regulären Randwertproblemen. Zbl 0338.34018
Orazov, M. B.; Shkalikov, A. A.
2
1976
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.
2
2021
Regular spectral problems for systems of ordinary differential equations of the first order. Zbl 1495.34115
Shkalikov, Andrei A.
2
2021
How to define the Orr-Sommerfeld operator? Zbl 1029.47503
Shkalikov, A. A.
2
1998
Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. Zbl 1436.46012
Motovilov, A. K.; Shkalikov, A. A.
2
2019
Asymptotics of solutions of two-term differential equations. Zbl 1519.34057
Konechnaja, N. N.; Mirzoev, K. A.; Shkalikov, A. A.
1
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.
1
2022
Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations. Zbl 1494.34088
Shkalikov, A. A.
3
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.
2
2021
Regular spectral problems for systems of ordinary differential equations of the first order. Zbl 1495.34115
Shkalikov, Andrei A.
2
2021
On oscillation properties of self-adjoint boundary value problems of fourth order. Zbl 1491.34050
Vladimirov, A. A.; Shkalikov, A. A.
1
2021
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A.
7
2020
Spectral properties of ordinary differential operators with involution. Zbl 1418.34156
Vladykina, V. E.; Shkalikov, A. A.
9
2019
Regular ordinary differential operators with involution. Zbl 1443.34064
Vladykina, V. E.; Shkalikov, A. A.
7
2019
Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249
Shkalikov, A. A.
6
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.
2
2019
Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005
Belyaev, A. A.; Shkalikov, A. A.
2
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.
9
2018
A note on reverses of the Young type inequalities via Kantorovich constant. Zbl 1413.47024
Nasiri, Leila; Shkalikov, Andrei A.; Shakoori, Mahmood
1
2018
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A.
14
2017
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A.
12
2017
Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035
Belyaev, Alexei A.; Shkalikov, A. A.
4
2017
Unconditional bases of subspaces related to non-self-adjoint perturbations of self-adjoint operators. Zbl 1463.47044
Motovilov, Aleksandr Konstantinovich; Shkalikov, Andreĭ Andreevich
2
2017
Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021
Shkalikov, A. A.
33
2016
Differential operators of even order with distribution coefficients. Zbl 1394.47046
Mirzoev, Karahan A.; Shkalikov, A. A.
14
2016
On stability of closedness and self-adjointness for \(2\times2\) operator matrices. Zbl 06701382
Shkalikov, A. A.; Trunk, Carsten
2
2016
Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065
Shkalikov, A. A.; Vladykina, V. E.
10
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.
3
2015
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A.
40
2014
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A.
10
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.
11
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.
5
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.
4
2013
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A.
2
2013
Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032
Shkalikov, A. A.
3
2012
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A.
38
2010
On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021
Shkalikov, A. A.
16
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.
34
2009
Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024
Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A.
17
2009
Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069
Ben Amara, J.; Shkalikov, A. A.
6
2009
Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032
Pokotilo, V. I.; Shkalikov, A. A.
6
2009
On perturbation theory for points of discrete spectrum of dissipative operator functions. Zbl 1178.47008
Shkalikov, A. A.
1
2009
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A.
14
2008
Regular and completely regular differential operators. Zbl 1156.34075
Shiryaev, E. A.; Shkalikov, A. A.
10
2007
Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045
Shkalikov, A. A.
7
2007
Spectral analysis of the Redge problem. Zbl 1282.34091
Shkalikov, A. A.
2
2007
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A.
29
2006
Strongly elliptic operators with singular coefficients. Zbl 1173.35429
Neiman-Zade, M. I.; Shkalikov, A. A.
11
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.
1
2006
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A.
19
2005
Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005
Shkalikov, A. A.
3
2005
Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057
Hryniv, R. O.; Shkalikov, A. A.
4
2004
Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037
Shkalikov, A. A.
2
2004
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A.
83
2003
Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018
Shkalikov, A. A.
18
2003
Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042
Griniv, R. O.; Shkalikov, A. A.
9
2003
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane
8
2003
Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029
Bak, Dzh.-G.; Shkalikov, A. A.
11
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.
11
2002
On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094
Dyachenko, A. V.; Shkalikov, A. A.
9
2002
On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016
Shkalikov, A. A.; Tumanov, S. N.
5
2002
On the computing of the eigenvalues of the Orr-Sommerfeld problem. Zbl 1052.65069
Neiman-zade, M. I.; Shkalikov, A. A.
1
2002
Spectral analysis of periodic differential operator matrices of mixed order. Zbl 1064.34074
Hryniv, R.; Shkalikov, A.; Vladimirov, A.
1
2002
Spectral analysis of the {R}egge problem. Zbl 1186.34126
Shkalikov, A. A.
4
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.
2
2000
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A.
125
1999
Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036
Neiman-Zade, M. I.; Shkalikov, A. A.
25
1999
A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023
Ben Amara, J.; Shkalikov, A. A.
16
1999
On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020
Shkalikov, A. A.
3
1999
Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536
Griniv, R. O.; Shkalikov, A. A.
1
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.
21
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.
9
1998
How to define the Orr-Sommerfeld operator? Zbl 1029.47503
Shkalikov, A. A.
2
1998
Factorization of elliptic pencils and the Mandelstam hypothesis. Zbl 0919.47013
Shkalikov, A. A.
1
1998
The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071
Shkalikov, A. A.
9
1997
Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009
Shkalikov, A. A.
22
1996
Spectral decomposition of symmetric operator matrices. Zbl 0874.47009
Mennicken, Reinhard; Shkalikov, Andrey A.
22
1996
Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane
15
1996
Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066
Shkalikov, A. A.
4
1996
On the essential spectrum of matrix operators. Zbl 0871.47005
Shkalikov, A. A.
33
1995
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A.
84
1994
Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane
12
1994
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
11
1994
On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031
Shkalikov, A. A.; Griniv, R. O.
9
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.
2
1994
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
19
1993
Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction. Zbl 0794.73034
Shkalikov, A. A.
1
1993
The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053
Shkalikov, A. A.; Shkred, A. V.
2
1992
A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014
Shkalikov, A. A.; Shkred, A. V.
2
1991
Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083
Shkalikov, A. A.
10
1990
Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023
Shkalikov, A. A.
32
1989
Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010
Shkalikov, A. A.
11
1989
Compact perturbations of strongly damped operator pencils. Zbl 0711.47012
Shkalikov, A. A.; Pliev, V. T.
3
1989
Compact perturbations of overdamped operator pencils. Zbl 0677.47011
Shkalikov, A. A.; Pliev, V. T.
1
1989
Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011
Shkalikov, A. A.
6
1988
On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017
Shkalikov, A. A.
5
1988
Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014
Shkalikov, A. A.
3
1988
Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019
Shkalikov, A. A.
89
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.
3
1985
Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Zbl 0565.30025
Shkalikov, A. A.
2
1985
On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019
Shkalikov, A. A.
2
1985
Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021
Shkalikov, A. A.
11
1984
Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033
Shkalikov, A. A.
3
1984
Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020
Shkalikov, A. A.
2
1984
Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014
Shkalikov, A. A.
97
1983
...and 16 more Documents
all top 5

Cited by 757 Authors

55 Shkalikov, Andreĭ Andreevich
25 Jeribi, Aref
23 Akhtyamov, Azamat Moukhtarovich
22 Savchuk, Artem M.
19 Tretter, Christiane
17 Sultanaev, Yaudat Talgatovich
14 Malamud, Mark M.
14 Veliev, Oktay Alish
14 Vlasov, Viktor Valentinovich
14 Wang, Junmin
13 Mityagin, Boris Samuilovich
12 Aliyev, Ziyatkhan S.
12 Sadovnichiĭ, Viktor Antonovich
12 Vladimirov, Anton A.
11 Buterin, Sergey Alexandrovich
11 Rautian, Nadegda Aleksandrovna
10 Aliev, Araz Rafig oglu
10 Kerimov, Nazim B.
10 Kostenko, Aleksey S.
10 Moalla, Nedra
10 Möller, Manfred
10 Motovilov, Aleksandr Konstantinovich
10 Sadovnichaya, Inna Viktorovna
9 Ammar, Aymen
9 Freiling, Gerhard
9 Ishkin, Khabir Kabirovich
9 Krichen, Bilel
9 Langer, Heinz
9 Mennicken, Reinhard
9 Mirzoev, Karakhan Agakhan
9 Mukhtarov, Oktay Sh.
8 Albeverio, Sergio A.
8 Djakov, Plamen B.
8 Kappeler, Thomas
8 Polyakov, Dmitriĭ Mikhaĭlovich
8 Xu, Gen-Qi
8 Yurko, Vjacheslav Anatoljevich
7 Eckhardt, Jonathan
7 Güldü, Yalçın
7 Kanguzhin, Baltabek Esmatovich
7 Kozlov, Valeriĭ Vasil’evich
7 Kritskov, Leonid V.
7 Lunyov, Anton A.
7 Mitrokhin, Sergeĭ Ivanovich
7 Trunk, Carsten
6 Bondarenko, Natalia P.
6 Bruk, Vladislav Moiseevich
6 Guo, Bao-Zhu
6 Hryniv, Rostyslav O.
6 Konechnaya, Natal’ya Nikolaevna
6 Makin, Alexander S.
6 Nazarov, Alexander I.
6 Pechentsov, A. S.
6 Shafarevich, Andreĭ Igorevich
6 Siegl, Petr
6 Topalov, Peter J.
6 Ugurlu, Ekin
6 Walha, Ines
6 Zvereva, Margarita Borisovna
5 Amirov, Rauf Kh.
5 Aslanov, Hamidulla Israfil
5 Baskakov, Anatoliĭ Grigor’evich
5 Burlutskaya, Marija Shaukatovna
5 Gesztesy, Fritz
5 Kapustin, N. Yu
5 Kaya, Ufuk
5 Khanmamedov, Agil Khanmamed ogly
5 Kravchenko, Vladislav V.
5 Langer, Matthias
5 Lomov, Igor’ Sergeevich
5 Mazzone, Giusy
5 Mirzoev, Sabir Sultanaga
5 Ozkan, Ahmet Sinan
5 Teschl, Gerald
5 Uskova, Natal’ya Borisovna
5 Vladykina, Veronika Evgen’evna
4 Baranetskyĭ, Yaroslav Omelyanovich
4 Behrndt, Jussi
4 Belyaev, Alekseĭ Aleksandrovich
4 Binding, Paul Anthony
4 Boulton, Lyonell
4 Chen, Shaozhu
4 Ferjani, Imen
4 Ibrogimov, Orif O.
4 Kalenyuk, Petro I.
4 Kamenskiĭ, Mikhaĭl Igor’evich
4 Keskin, Baki
4 Kostyuchenko, Anatolii Gordeevich
4 Kulaev, Ruslan Chermenovich
4 Marvanov, Rustem Il’darovich
4 Nazirova, Èl’vira Aĭratovna
4 Qi, Jiangang
4 Ran, André C. M.
4 Sameripour, Ali
4 Sheipak, Igor A.
4 Tikhonov, Yu. A.
4 Torba, Sergii M.
4 Weikard, Rudi
4 Yang, Chuanfu
4 Yung, Siu Pang
...and 657 more Authors
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Cited in 216 Serials

96 Mathematical Notes
76 Differential Equations
30 Journal of Mathematical Analysis and Applications
30 Journal of Mathematical Sciences (New York)
29 Journal of Differential Equations
27 Doklady Mathematics
24 Integral Equations and Operator Theory
21 Mathematische Nachrichten
19 Journal of Functional Analysis
18 Functional Analysis and its Applications
13 Mathematical Methods in the Applied Sciences
12 Journal of Mathematical Physics
12 Siberian Mathematical Journal
12 Boundary Value Problems
12 Ufimskiĭ Matematicheskiĭ Zhurnal
11 Moscow University Mathematics Bulletin
11 Results in Mathematics
11 Linear Algebra and its Applications
11 Lobachevskii Journal of Mathematics
10 Ukrainian Mathematical Journal
10 Russian Mathematics
10 Russian Journal of Mathematical Physics
10 Mediterranean Journal of Mathematics
10 Complex Analysis and Operator Theory
9 Transactions of the Moscow Mathematical Society
9 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
9 Proceedings of the Steklov Institute of Mathematics
8 Theoretical and Mathematical Physics
8 St. Petersburg Mathematical Journal
8 Eurasian Mathematical Journal
8 Analysis and Mathematical Physics
7 Russian Mathematical Surveys
7 Computational Mathematics and Mathematical Physics
7 Filomat
6 Applicable Analysis
6 Linear and Multilinear Algebra
5 Archive for Rational Mechanics and Analysis
5 Proceedings of the American Mathematical Society
5 Turkish Journal of Mathematics
5 Sbornik: Mathematics
5 Central European Journal of Mathematics
4 Israel Journal of Mathematics
4 Rocky Mountain Journal of Mathematics
4 Applied Mathematics and Computation
4 Journal of Computational and Applied Mathematics
4 Systems & Control Letters
4 Applied Mathematics Letters
4 Communications in Partial Differential Equations
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Electronic Journal of Differential Equations (EJDE)
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
4 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
4 Journal of Spectral Theory
4 Azerbaijan Journal of Mathematics
4 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
3 Communications in Mathematical Physics
3 Inverse Problems
3 Journal of Applied Mathematics and Mechanics
3 Journal of Engineering Mathematics
3 Letters in Mathematical Physics
3 International Journal of Mathematics and Mathematical Sciences
3 Mathematische Zeitschrift
3 Quaestiones Mathematicae
3 Acta Applicandae Mathematicae
3 Physica D
3 Abstract and Applied Analysis
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Operators and Matrices
3 Journal of Pseudo-Differential Operators and Applications
2 Computers & Mathematics with Applications
2 Journal d’Analyse Mathématique
2 Reviews in Mathematical Physics
2 Theory of Probability and its Applications
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Quarterly of Applied Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Numerical Methods for Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Annales Mathématiques Blaise Pascal
2 Opuscula Mathematica
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Izvestiya: Mathematics
2 Journal of Applied Analysis
2 Matematychni Studiï
2 Acta Mathematica Sinica. English Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Communications on Pure and Applied Analysis
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Advances in Difference Equations
2 Inverse Problems in Science and Engineering
2 Complex Variables and Elliptic Equations
2 Inverse Problems and Imaging
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Afrika Matematika
...and 116 more Serials
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Cited in 40 Fields

551 Ordinary differential equations (34-XX)
406 Operator theory (47-XX)
176 Partial differential equations (35-XX)
53 Quantum theory (81-XX)
49 Mechanics of deformable solids (74-XX)
43 Fluid mechanics (76-XX)
33 Functional analysis (46-XX)
31 Systems theory; control (93-XX)
26 Numerical analysis (65-XX)
25 Dynamical systems and ergodic theory (37-XX)
25 Integral equations (45-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
12 Probability theory and stochastic processes (60-XX)
11 Mechanics of particles and systems (70-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Difference and functional equations (39-XX)
8 Real functions (26-XX)
8 Special functions (33-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Functions of a complex variable (30-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Combinatorics (05-XX)
3 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Optics, electromagnetic theory (78-XX)
3 Geophysics (86-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
1 General and overarching topics; collections (00-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

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