Edit Profile (opens in new tab) Shkalikov, Andreĭ Andreevich Co-Author Distance Author ID: shkalikov.andrei-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 more...less Further Spellings: Шкаликов Андрей Андреевич External Links: MGP · Wikidata · Math-Net.Ru · GND Documents Indexed: 161 Publications since 1975, including 19 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 117 Co-Authors with 103 Joint Publications 4,072 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 83 Operator theory (47-XX) 80 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 18 Functional analysis (46-XX) 14 Fluid mechanics (76-XX) 12 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) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Special functions (33-XX) 2 Integral equations (45-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 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 1,545 times in 972 Documents Cited by ▼ Year ▼ Sturm-Liouville operators with singular potentials. Zbl 0968.34072 Savchuk, A. M.; Shkalikov, A. A. 132 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. 90 1986 The essential spectrum of some matrix operators. Zbl 0831.47001 Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. 89 1994 Sturm-Liouville operators with distribution potentials. Zbl 1066.34085 Savchuk, A. M.; Shkalikov, A. A. 85 2003 Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017 Savchuk, A. M.; Shkalikov, A. A. 42 2010 The Dirac operator with complex-valued summable potential. Zbl 1320.34118 Savchuk, A. M.; Shkalikov, A. A. 41 2014 On the basis problem of the eigenfunctions of an ordinary differential operator. Zbl 0471.34014 Shkalikov, A. A. 37 1979 On the essential spectrum of matrix operators. Zbl 0871.47005 Shkalikov, A. A. 36 1995 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. 35 2009 Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021 Shkalikov, A. A. 35 2016 On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055 Savchuk, A. M.; Shkalikov, A. A. 33 2006 Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023 Shkalikov, A. A. 32 1989 Self\(adjoint\) quadratic operator pencils and elliptic problems. Zbl 0531.47017 Kostyuchenko, A. G.; Shkalikov, A. A. 29 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 Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008 Savchuk, A. M.; Shkalikov, A. A. 23 2005 Spectral decomposition of symmetric operator matrices. Zbl 0874.47009 Mennicken, Reinhard; Shkalikov, Andrey A. 23 1996 Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009 Shkalikov, A. 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 Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024 Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A. 18 2009 Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018 Shkalikov, A. A. 18 2003 Differential operators of even order with distribution coefficients. Zbl 1394.47046 Mirzoev, Karahan A.; Shkalikov, A. A. 18 2016 Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058 Shkalikov, Andrey A.; Tretter, Christiane 17 1996 On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010 Savchuk, A. M.; Shkalikov, A. A. 16 2008 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 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 13 1994 Strongly elliptic operators with singular coefficients. Zbl 1173.35429 Neiman-Zade, M. I.; Shkalikov, A. A. 12 2006 On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031 Treshchev, D. V.; Shkalikov, A. A. 12 2017 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 Damped vibrations of beams and related spectral problems. Zbl 0801.73044 Lancaster, Peter; Shkalikov, A. 12 1994 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. 12 2018 Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010 Shkalikov, A. A. 11 1989 Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019 Shkalikov, A. A. 11 1983 Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021 Shkalikov, A. A. 11 1984 Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065 Shkalikov, A. A.; Vladykina, V. E. 11 2015 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 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 Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032 Savchuk, Artëm M.; Shkalikov, Andreĭ A. 11 2020 Regular and completely regular differential operators. Zbl 1156.34075 Shiryaev, E. A.; Shkalikov, A. A. 10 2007 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. 10 1998 Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083 Shkalikov, A. A. 10 1990 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 Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042 Griniv, R. O.; Shkalikov, A. A. 9 2003 On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094 Dyachenko, A. V.; Shkalikov, A. A. 9 2002 Spectral properties of ordinary differential operators with involution. Zbl 1418.34156 Vladykina, V. E.; Shkalikov, A. A. 9 2019 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 Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069 Ben Amara, J.; Shkalikov, A. A. 7 2009 Regular ordinary differential operators with involution. Zbl 1443.34064 Vladykina, V. E.; Shkalikov, A. A. 7 2019 Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011 Shkalikov, A. A. 6 1988 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 On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017 Shkalikov, A. A. 5 1988 Some questions of the theory of polynomial operator pencils. Zbl 0527.47012 Shkalikov, A. A. 5 1983 On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016 Shkalikov, A. A.; Tumanov, S. N. 5 2002 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 Spectral analysis of the {R}egge problem. Zbl 1186.34126 Shkalikov, A. A. 4 2001 Estimates of meromorphic functions and summability theorems. Zbl 0521.47012 Shkalikov, A. A. 4 1982 Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035 Belyaev, Alexei A.; Shkalikov, A. A. 4 2017 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 Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066 Shkalikov, A. A. 4 1996 On stability of closedness and self-adjointness for \(2\times2\) operator matrices. Zbl 06701382 Shkalikov, A. A.; Trunk, Carsten 4 2016 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 Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005 Shkalikov, A. A. 3 2005 Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012 Shkalikov, A. A. 3 1981 On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020 Shkalikov, A. A. 3 1999 Über ein System von Funktionen. Zbl 0321.42013 Skalikov, A. A. 3 1975 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 Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033 Shkalikov, A. A. 3 1984 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 Über die Summierbarkeit von Entwicklungen nach Eigenfunktionen von Differential- und Faltungsoperatoren. Zbl 0394.34018 Kostyuchenko, A. G.; Shkalikov, A. A. 3 1978 Über die Basiseigenschaften der Eigenfunktionen eines gewöhnlichen Differentialoperators. Zbl 0438.34021 Shkalikov, A. A. 3 1979 Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032 Shkalikov, A. A. 3 2012 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 Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations. Zbl 1494.34088 Shkalikov, A. A. 3 2021 On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019 Shkalikov, A. A. 2 1985 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 Über eine n-fache Basis von Eigenfunktionen bei einigen regulären Randwertproblemen. Zbl 0338.34018 Orazov, M. B.; Shkalikov, A. A. 2 1976 Spectral analysis of the Redge problem. Zbl 1282.34091 Shkalikov, A. A. 2 2007 On the computing of the eigenvalues of the Orr-Sommerfeld problem. Zbl 1052.65069 Neiman-zade, M. I.; Shkalikov, A. A. 2 2002 A system of functions. Zbl 0326.42010 Skalikov, A. A. 2 1976 Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037 Shkalikov, A. A. 2 2004 A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014 Shkalikov, A. A.; Shkred, A. V. 2 1991 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 How to define the Orr-Sommerfeld operator? Zbl 1029.47503 Shkalikov, A. A. 2 1998 On the interpolation of analytic mappings. Zbl 1291.46020 Savchuk, A. M.; Shkalikov, A. A. 2 2013 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 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. 11 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 Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005 Belyaev, A. A.; Shkalikov, A. A. 2 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 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. 12 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. 35 2016 Differential operators of even order with distribution coefficients. Zbl 1394.47046 Mirzoev, Karahan A.; Shkalikov, A. A. 18 2016 On stability of closedness and self-adjointness for \(2\times2\) operator matrices. Zbl 06701382 Shkalikov, A. A.; Trunk, Carsten 4 2016 Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065 Shkalikov, A. A.; Vladykina, V. E. 11 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. 41 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. 42 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. 35 2009 Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024 Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A. 18 2009 Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069 Ben Amara, J.; Shkalikov, A. A. 7 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. 16 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. 33 2006 Strongly elliptic operators with singular coefficients. Zbl 1173.35429 Neiman-Zade, M. I.; Shkalikov, A. A. 12 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. 23 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. 85 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. 2 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. 132 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. 10 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 Spectral decomposition of symmetric operator matrices. Zbl 0874.47009 Mennicken, Reinhard; Shkalikov, Andrey A. 23 1996 Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009 Shkalikov, A. A. 22 1996 Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058 Shkalikov, Andrey A.; Tretter, Christiane 17 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. 36 1995 The essential spectrum of some matrix operators. Zbl 0831.47001 Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. 89 1994 Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071 Shalikov, Andrey A.; Tretter, Christiane 13 1994 Damped vibrations of beams and related spectral problems. Zbl 0801.73044 Lancaster, Peter; Shkalikov, A. 12 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. 90 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 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 zeros of holomorphic functions. Zbl 0565.30025 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 cited Publications top 5 cited Publications all top 5 Cited by 777 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 Kerimov, Nazim B. 11 Rautian, Nadegda Aleksandrovna 10 Aliev, Araz Rafig oglu 10 Kostenko, Aleksey S. 10 Moalla, Nedra 10 Möller, Manfred 10 Motovilov, Aleksandr Konstantinovich 10 Sadovnichaya, Inna Viktorovna 9 Ammar, Aymen 9 Bondarenko, Natalia P. 9 Freiling, Gerhard 9 Ishkin, Khabir Kabirovich 9 Krichen, Bilel 9 Langer, Heinz 9 Mennicken, Reinhard 9 Mirzoev, Karakhan Agakhan 9 Mitrokhin, Sergeĭ Ivanovich 9 Mukhtarov, Oktay Sh. 9 Polyakov, Dmitriĭ Mikhaĭlovich 9 Walha, Ines 8 Albeverio, Sergio A. 8 Djakov, Plamen B. 8 Kappeler, Thomas 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 Trunk, Carsten 6 Bruk, Vladislav Moiseevich 6 Guo, Bao-Zhu 6 Hryniv, Rostyslav O. 6 Konechnaya, Natal’ya Nikolaevna 6 Kravchenko, Vladislav V. 6 Langer, Matthias 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 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 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 5 Weikard, Rudi 4 Baranetskyĭ, Yaroslav Omelyanovich 4 Behrndt, Jussi 4 Belyaev, Alekseĭ Aleksandrovich 4 Binding, Paul Anthony 4 Boulton, Lyonell 4 Chen, Alatancang 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 Kukushkin, Maksim Vladimirovich 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 Skorokhodov, Sergey L. 4 Tikhonov, Yu. 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