Edit Profile Shkalikov, Andreĭ Andreevich Compute Distance To: Compute Author ID: shkalikov.andrei-andreevich Published as: Shalikov, Andrey A.; Shkalikov, A.; Shkalikov, A. A.; Shkalikov, Andrei; Shkalikov, Andrei A.; Shkalikov, Andrey A.; Shkalikov, Andreĭ Andreevich; Skalikov, A. A. External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 132 Publications since 1975 Biographic References: 2 Publications all top 5 Co-Authors 50 single-authored 12 Savchuk, Artem M. 6 Kostyuchenko, Anatolii Gordeevich 5 Sadovnichiĭ, Viktor Antonovich 5 Tumanov, S. N. 4 Griniv, R. O. 4 Mennicken, Reinhard 4 Tretter, Christiane 3 Bukhshtaber, Viktor Matveevich 3 Hryniv, Rostyslav O. 3 Motovilov, Aleksandr Konstantinovich 3 Neiman-zade, M. I. 3 Vladimirov, Anton A. 3 Vladykina, Veronika Evgen’evna 3 Zhikov, Vasiliĭ Vasil’evich 2 Alkhutov, Yuriy Alexandrovich 2 Belyaev, Alexei A. 2 Ben Amara, Jamel 2 Kashin, Boris Sergeevich 2 Kozlov, Valeriĭ Vasil’evich 2 Lancaster, Peter 2 Mirzoev, Karakhan Agakhan 2 Novikov, Sergeĭ Petrovich 2 Orazov, M. B. 2 Pliev, V. T. 2 Shkred, A. V. 2 Tikhomirov, Vladimir Mikhaĭlovich 1 Agranovich, Mikhail Semënovich 1 Albeverio, Sergio A. 1 Aliev, Araz R. 1 Amosov, B. A. 1 Aslanov, Gamidulla I. 1 Astashova, Irina V. 1 Atkinson, Frederick Valentine 1 Bak, Dzh.-G. 1 Bayramoğlu, Mehmet 1 Benamara, Jamal 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Bogachev, Vladimir Igorevich 1 Butuzov, Valentin Fëdorovich 1 Chechkin, Gregory A. 1 Chetverushkin, Boris Nikolaevich 1 Chirka, Evgeni M. 1 Chubarikov, Vladimir Nikolaevich 1 Denisov, Vasiliĭ Nikolaevich 1 Dobrokhotov, Sergei Yurievich 1 Dubinin, Vladimir N. 1 Dyachenko, Alexander V. 1 Friedlander, L. F. 1 Gadjiev, Akif Djafar oglu 1 Geynts, V. L. 1 Gorbachuk, Myroslav L’vovych 1 Guseinov, R. V. 1 Huseynov, Hidayat Mahammad 1 Ismagilov, Rais Sal’manovich 1 Kaliaguine, Valeri A. 1 Kappeler, Thomas 1 Kirillov, Alexandre Aleksandrovich 1 Konechnaya, Natal’ya Nikolaevna 1 Kon’kov, Andrej A. 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, Mukhtarbaj 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, Gregory V. 1 Rozov, Nikolaĭ Khristovich 1 Ryzhikov, Valeriĭ Valentinovich 1 Sargsyan, I. S. 1 Schmid, Hanspeter 1 Schmid, Harald 1 Sergeev, Armen Glebovich 1 Sergeev, Igor N. 1 Shakoori, Mahmood 1 Shamaev, Alexei S. 1 Shaposhnikova, Tatiana A. 1 Shiryaev, E. A. 1 Sinaĭ, Yakov Grigor’evich 1 Sorokin, Vladimir N. 1 Stepin, Anatolii Mikhailovich 1 Suetin, Sergeĭ Pavlovich ...and 11 more Co-Authors all top 5 Serials 31 Mathematical Notes 11 Functional Analysis and its Applications 9 Russian Mathematical Surveys 7 Moscow University Mathematics Bulletin 5 Mathematische Nachrichten 5 Soviet Mathematics. Doklady 4 Russian Journal of Mathematical Physics 4 Doklady Mathematics 3 Transactions of the Moscow Mathematical Society 3 Mathematics of the USSR, Sbornik 3 Journal of Mathematical Sciences (New York) 3 Proceedings of the Steklov Institute of Mathematics 2 Matematicheskie Zametki 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Integral Equations and Operator Theory 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Trudy Seminara Imeni I. G. Petrovskogo 2 Fundamental’naya i Prikladnaya Matematika 2 Differential Equations 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Pacific Journal of Mathematics 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Studia Scientiarum Mathematicarum Hungarica 1 Transactions of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Matematicheskiĭ Sbornik 1 The Canadian Applied Mathematics Quarterly 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Methods of Functional Analysis and Topology 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Eurasian Mathematical Journal all top 5 Fields 79 Operator theory (47-XX) 61 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 13 Functional analysis (46-XX) 11 History and biography (01-XX) 8 Mechanics of deformable solids (74-XX) 7 Functions of a complex variable (30-XX) 5 Sequences, series, summability (40-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 106 Publications have been cited 1,129 times in 717 Documents Cited by ▼ Year ▼ Sturm-Liouville operators with singular potentials. Zbl 0968.34072Savchuk, A. M.; Shkalikov, A. A. 97 1999 Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014Shkalikov, A. A. 92 1983 Sturm-Liouville operators with distribution potentials. Zbl 1066.34085Savchuk, A. M.; Shkalikov, A. A. 69 2003 The essential spectrum of some matrix operators. Zbl 0831.47001Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. 66 1994 Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019Shkalikov, A. A. 61 1986 On the basis problem of the eigenfunctions of an ordinary differential operator. Zbl 0471.34014Shkalikov, A. A. 36 1979 On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems. Zbl 1190.34111Shkalikov, A. A.; Veliev, O. A. 29 2009 Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023Shkalikov, A. A. 27 1989 On the essential spectrum of matrix operators. Zbl 0871.47005Shkalikov, A. A. 25 1995 On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055Savchuk, A. M.; Shkalikov, A. A. 24 2006 The Dirac operator with complex-valued summable potential. Zbl 1320.34118Savchuk, A. M.; Shkalikov, A. A. 23 2014 Spectral decomposition of symmetric operator matrices. Zbl 0874.47009Mennicken, Reinhard; Shkalikov, Andrey A. 22 1996 The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions. Zbl 0565.34020Shkalikov, A. A. 22 1982 Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017Savchuk, A. M.; Shkalikov, A. A. 21 2010 Self\(adjoint\) quadratic operator pencils and elliptic problems. Zbl 0531.47017Kostyuchenko, A. G.; Shkalikov, A. A. 20 1983 Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021Shkalikov, A. A. 18 2016 On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Zbl 0892.34019Mennicken, R.; Schmid, H.; Shkalikov, A. A. 18 1998 Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009Shkalikov, A. A. 18 1996 Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009Lancaster, P.; Shkalikov, A.; Ye, Qiang 18 1993 Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036Neiman-Zade, M. I.; Shkalikov, A. A. 17 1999 On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021Shkalikov, A. A. 15 2010 Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018Shkalikov, A. A. 15 2003 Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058Shkalikov, Andrey A.; Tretter, Christiane 14 1996 Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A. 13 2009 Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008Savchuk, A. M.; Shkalikov, A. A. 13 2005 Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071Shalikov, Andrey A.; Tretter, Christiane 12 1994 The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions. Zbl 0354.34023Shkalikov, A. A. 11 1977 On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010Savchuk, A. M.; Shkalikov, A. A. 10 2008 On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile. Zbl 1056.34092Shkalikov, A. A.; Tumanov, S. N. 10 2002 A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023Ben Amara, J.; Shkalikov, A. A. 10 1999 Regular and completely regular differential operators. Zbl 1156.34075Shiryaev, E. A.; Shkalikov, A. A. 9 2007 Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029Bak, Dzh.-G.; Shkalikov, A. A. 9 2002 The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071Shkalikov, A. A. 9 1997 Damped vibrations of beams and related spectral problems. Zbl 0801.73044Lancaster, Peter; Shkalikov, A. 9 1994 Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083Shkalikov, A. A. 9 1990 Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021Shkalikov, A. A. 9 1984 Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042Griniv, R. O.; Shkalikov, A. A. 8 2003 On the stability of a top with a cavity filled with a viscous fluid. Zbl 0960.76037Kostyuchenko, A. G.; Shkalikov, A. A.; Yurkin, M. Yu. 8 1998 Differential operators of even order with distribution coefficients. Zbl 1394.47046Mirzoev, Karahan A.; Shkalikov, A. A. 7 2016 Spectral and oscillatory properties of a linear pencil of fourth-order differential operators. Zbl 1283.34075Ben Amara, J.; Shkalikov, A. A.; Vladimirov, A. A. 7 2013 Strongly elliptic operators with singular coefficients. Zbl 1173.35429Neiman-Zade, M. I.; Shkalikov, A. A. 7 2006 On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031Shkalikov, A. A.; Griniv, R. O. 7 1994 Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010Shkalikov, A. A. 7 1989 Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019Shkalikov, A. A. 7 1983 On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031Treshchev, D. V.; Shkalikov, A. A. 6 2017 Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065Shkalikov, A. A.; Vladykina, V. E. 6 2015 The \(n\)-fold basis property of the characteristic functions of certain regular boundary-value problems. Zbl 0358.34022Orazov, M. B.; Skalikov, A. A. 6 1977 Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131Savchuk, Artem M.; Shkalikov, A. A. 5 2017 Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031Savchuk, A. M.; Shkalikov, A. A. 5 2014 Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045Shkalikov, A. A. 5 2007 Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011Shkalikov, A. A. 5 1988 Some questions of the theory of polynomial operator pencils. Zbl 0527.47012Shkalikov, 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 1292.34014Savchuk, A. M.; Shkalikov, A. A. 4 2013 Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032Pokotilo, V. I.; Shkalikov, A. A. 4 2009 Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane 4 2003 On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094Dyachenko, A. V.; Shkalikov, A. A. 4 2002 On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016Shkalikov, A. A.; Tumanov, S. N. 4 2002 Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066Shkalikov, A. A. 4 1996 On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017Shkalikov, A. A. 4 1988 Estimates of meromorphic functions and summability theorems. Zbl 0521.47012Shkalikov, A. A. 4 1982 Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249Shkalikov, A. A. 3 2019 Spectral properties of ordinary differential operators with involution. Zbl 1418.34156Vladykina, V. E.; Shkalikov, A. A. 3 2019 On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. Zbl 1403.34060Konechnaya, N. N.; Mirzoev, K. A.; Shkalikov, A. A. 3 2018 On the interpolation of analytic mappings. Zbl 1291.46020Savchuk, A. M.; Shkalikov, A. A. 3 2013 Asymptotics of eigenvalues of a second-order non-self-adjoint differential operator on the axis. Zbl 1315.34095Kusainova, L. K.; Monashova, A. Zh.; Shkalikov, A. A. 3 2013 Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032Shkalikov, A. A. 3 2012 Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069Ben Amara, J.; Shkalikov, A. A. 3 2009 Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005Shkalikov, A. A. 3 2005 Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057Hryniv, R. O.; Shkalikov, A. A. 3 2004 Spectral analysis of the Regge problem. Zbl 1186.34126Shkalikov, A. A. 3 2001 On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020Shkalikov, A. A. 3 1999 The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053Shkalikov, A. A.; Shkred, A. V. 3 1992 A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014Shkalikov, A. A.; Shkred, A. V. 3 1991 Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014Shkalikov, A. A. 3 1988 On the minimality of the derivative chains corresponding to the part of eigen and associated elements of selfadjoint operator pencils. Zbl 0591.47014Shkalikov, A. A. 3 1985 Über die Summierbarkeit von Entwicklungen nach Eigenfunktionen von Differential- und Faltungsoperatoren. Zbl 0394.34018Kostyuchenko, A. G.; Shkalikov, A. A. 3 1978 Über ein System von Funktionen. Zbl 0321.42013Skalikov, A. A. 3 1975 Regular ordinary differential operators with involution. Zbl 1443.34064Vladykina, V. E.; Shkalikov, A. A. 2 2019 Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005Belyaev, A. A.; Shkalikov, A. A. 2 2019 Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035Belyaev, Alexei A.; Shkalikov, A. A. 2 2017 The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential. Zbl 1337.34028Tumanov, S. N.; Shkalikov, A. A. 2 2015 Spectral analysis of the Redge problem. Zbl 1282.34091Shkalikov, A. A. 2 2007 Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037Shkalikov, A. A. 2 2004 Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536Griniv, R. O.; Shkalikov, A. A. 2 1999 How to define the Orr-Sommerfeld operator? Zbl 1029.47503Shkalikov, A. A. 2 1998 Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities. Zbl 0819.76100Mennicken, R.; Schmid, H.; Shkalikov, A. A. 2 1994 On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019Shkalikov, A. A. 2 1985 Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033Shkalikov, A. A. 2 1984 Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020Shkalikov, A. A. 2 1984 Some problems in the theory of polynomial operator pencils. Zbl 0557.47011Shkalikov, A. A. 2 1983 Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012Shkalikov, A. A. 2 1981 Über eine n-fache Basis von Eigenfunktionen bei einigen regulären Randwertproblemen. Zbl 0338.34018Orazov, M. B.; Shkalikov, A. A. 2 1976 A system of functions. Zbl 0326.42010Skalikov, A. A. 2 1976 Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. Zbl 1436.46012Motovilov, A. K.; Shkalikov, A. A. 1 2019 A note on reverses of the Young type inequalities via Kantorovich constant. Zbl 1413.47024Nasiri, Leila; Shkalikov, Andrei A.; Shakoori, Mahmood 1 2018 On perturbation theory for points of discrete spectrum of dissipative operator functions. Zbl 1178.47008Shkalikov, A. A. 1 2009 In memory of Boris Levitan. Zbl 1118.01308Kostyuchenko, A. G.; Maslov, V. P.; Sadovnichii, V. A.; Sargsyan, I. S.; Shkalikov, A. A.; Zhikov, V. V. 1 2006 Spectral analysis of periodic differential operator matrices of mixed order. Zbl 1064.34074Hryniv, R.; Shkalikov, A.; Vladimirov, A. 1 2002 On the computing of the eigenvalues of the Orr-Sommerfeld problem. Zbl 1052.65069Neiman-zade, M. I.; Shkalikov, A. A. 1 2002 An operator model for the oscillation problem of liquids on an elastic bottom. Zbl 0973.35140Griniv, R. O.; Dobrokhotov, S. Yu.; Shkalikov, A. A. 1 2000 Basis properties of root functions of differential operators with spectral parameter in the boundary conditions. Zbl 1422.34249Shkalikov, A. A. 3 2019 Spectral properties of ordinary differential operators with involution. Zbl 1418.34156Vladykina, V. E.; Shkalikov, A. A. 3 2019 Regular ordinary differential operators with involution. Zbl 1443.34064Vladykina, V. E.; Shkalikov, A. A. 2 2019 Multipliers in Bessel potential spaces with smoothness indices of different sign. Zbl 1412.31005Belyaev, A. A.; Shkalikov, A. A. 2 2019 Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. Zbl 1436.46012Motovilov, A. K.; Shkalikov, A. A. 1 2019 On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. Zbl 1403.34060Konechnaya, N. N.; Mirzoev, K. A.; Shkalikov, A. A. 3 2018 A note on reverses of the Young type inequalities via Kantorovich constant. Zbl 1413.47024Nasiri, Leila; Shkalikov, Andrei A.; Shakoori, Mahmood 1 2018 On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031Treshchev, D. V.; Shkalikov, A. A. 6 2017 Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131Savchuk, Artem M.; Shkalikov, A. A. 5 2017 Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness. Zbl 1390.46035Belyaev, Alexei A.; Shkalikov, A. A. 2 2017 Perturbations of self-adjoint and normal operators with discrete spectrum. Zbl 1367.47021Shkalikov, A. A. 18 2016 Differential operators of even order with distribution coefficients. Zbl 1394.47046Mirzoev, Karahan A.; Shkalikov, A. A. 7 2016 Asymptotics of the solutions of the Sturm-Liouville equation with singular coefficients. Zbl 1338.34065Shkalikov, A. A.; Vladykina, V. E. 6 2015 The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential. Zbl 1337.34028Tumanov, S. N.; Shkalikov, A. A. 2 2015 The Dirac operator with complex-valued summable potential. Zbl 1320.34118Savchuk, A. M.; Shkalikov, A. A. 23 2014 Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031Savchuk, A. M.; Shkalikov, A. A. 5 2014 Spectral and oscillatory properties of a linear pencil of fourth-order differential operators. Zbl 1283.34075Ben Amara, J.; Shkalikov, A. A.; Vladimirov, A. A. 7 2013 Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014Savchuk, A. M.; Shkalikov, A. A. 4 2013 On the interpolation of analytic mappings. Zbl 1291.46020Savchuk, A. M.; Shkalikov, A. A. 3 2013 Asymptotics of eigenvalues of a second-order non-self-adjoint differential operator on the axis. Zbl 1315.34095Kusainova, L. K.; Monashova, A. Zh.; Shkalikov, A. A. 3 2013 Eigenvalue asymptotics of perturbed selfadjoint operators. Zbl 1243.47032Shkalikov, A. A. 3 2012 Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017Savchuk, A. M.; Shkalikov, A. A. 21 2010 On the basis property of root vectors of a perturbed self-adjoint operator. Zbl 1200.47021Shkalikov, A. A. 15 2010 On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems. Zbl 1190.34111Shkalikov, A. A.; Veliev, O. A. 29 2009 Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations. Zbl 1197.47024Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A. 13 2009 Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential. Zbl 1192.34032Pokotilo, V. I.; Shkalikov, A. A. 4 2009 Oscillation theorems for Sturm-Liouville problems with distribution potentials. Zbl 1304.34069Ben Amara, J.; Shkalikov, A. A. 3 2009 On perturbation theory for points of discrete spectrum of dissipative operator functions. Zbl 1178.47008Shkalikov, A. A. 1 2009 On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010Savchuk, A. M.; Shkalikov, A. A. 10 2008 Regular and completely regular differential operators. Zbl 1156.34075Shiryaev, E. A.; Shkalikov, A. A. 9 2007 Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions. Zbl 1255.47045Shkalikov, A. A. 5 2007 Spectral analysis of the Redge problem. Zbl 1282.34091Shkalikov, A. A. 2 2007 On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055Savchuk, A. M.; Shkalikov, A. A. 24 2006 Strongly elliptic operators with singular coefficients. Zbl 1173.35429Neiman-Zade, M. I.; Shkalikov, A. A. 7 2006 In memory of Boris Levitan. Zbl 1118.01308Kostyuchenko, 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 1396.34008Savchuk, A. M.; Shkalikov, A. A. 13 2005 Invariant subspaces of dissipative operators in a space with indefinite metric. Zbl 1146.47005Shkalikov, A. A. 3 2005 Exponential decay of solution energy for equations associated with some operator models of mechanics. Zbl 1084.34057Hryniv, R. O.; Shkalikov, A. A. 3 2004 Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top. Zbl 1097.47037Shkalikov, A. A. 2 2004 Sturm-Liouville operators with distribution potentials. Zbl 1066.34085Savchuk, A. M.; Shkalikov, A. A. 69 2003 Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers. Zbl 1074.76018Shkalikov, A. A. 15 2003 Exponential stability of semigroups associated with some operator models in mechanics. Zbl 1061.34042Griniv, R. O.; Shkalikov, A. A. 8 2003 Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane 4 2003 On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile. Zbl 1056.34092Shkalikov, A. A.; Tumanov, S. N. 10 2002 Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials. Zbl 1029.46029Bak, Dzh.-G.; Shkalikov, A. A. 9 2002 On a model problem for the Orr-Sommerfeld equation with linear profile. Zbl 1036.34094Dyachenko, A. V.; Shkalikov, A. A. 4 2002 On the spectrum localization of the Orr–Sommerfeld problem for large Reynolds numbers. Zbl 1022.76016Shkalikov, A. A.; Tumanov, S. N. 4 2002 Spectral analysis of periodic differential operator matrices of mixed order. Zbl 1064.34074Hryniv, R.; Shkalikov, A.; Vladimirov, A. 1 2002 On the computing of the eigenvalues of the Orr-Sommerfeld problem. Zbl 1052.65069Neiman-zade, M. I.; Shkalikov, A. A. 1 2002 Spectral analysis of the Regge problem. Zbl 1186.34126Shkalikov, A. A. 3 2001 An operator model for the oscillation problem of liquids on an elastic bottom. Zbl 0973.35140Griniv, R. O.; Dobrokhotov, S. Yu.; Shkalikov, A. A. 1 2000 Sturm-Liouville operators with singular potentials. Zbl 0968.34072Savchuk, A. M.; Shkalikov, A. A. 97 1999 Schrödinger operators with singular potentials from the space of multiplicators. Zbl 0991.47036Neiman-Zade, M. I.; Shkalikov, A. A. 17 1999 A Sturm-Liouville problem with physical and spectral parameters in boundary conditions. Zbl 0958.34023Ben Amara, J.; Shkalikov, A. A. 10 1999 On the existence of invariant subspaces of dissipative operators in space with indefinite metric. Zbl 0960.47020Shkalikov, A. A. 3 1999 Operator models in elasticity theory and hydromechanics and the associated analytic semigroups. Zbl 1049.76536Griniv, R. O.; Shkalikov, A. A. 2 1999 On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Zbl 0892.34019Mennicken, R.; Schmid, H.; Shkalikov, A. A. 18 1998 On the stability of a top with a cavity filled with a viscous fluid. Zbl 0960.76037Kostyuchenko, A. G.; Shkalikov, A. A.; Yurkin, M. Yu. 8 1998 How to define the Orr-Sommerfeld operator? Zbl 1029.47503Shkalikov, A. A. 2 1998 Factorization of elliptic pencils and the Mandelstam hypothesis. Zbl 0919.47013Shkalikov, A. A. 1 1998 The limit behavior of the spectrum for large parameter values in a model problem. Zbl 0937.34071Shkalikov, A. A. 9 1997 Spectral decomposition of symmetric operator matrices. Zbl 0874.47009Mennicken, Reinhard; Shkalikov, Andrey A. 22 1996 Operator pencils arising in elasticity and hydrodynamics: The instability index formula. Zbl 0860.47009Shkalikov, A. A. 18 1996 Spectral analysis for linear pencils \(N-\lambda P\) of ordinary differential operators. Zbl 0862.34058Shkalikov, Andrey A.; Tretter, Christiane 14 1996 Boundary value problems with the spectral parameter in the boundary conditions. Zbl 0889.34066Shkalikov, A. A. 4 1996 On the essential spectrum of matrix operators. Zbl 0871.47005Shkalikov, A. A. 25 1995 The essential spectrum of some matrix operators. Zbl 0831.47001Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. 66 1994 Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071Shalikov, Andrey A.; Tretter, Christiane 12 1994 Damped vibrations of beams and related spectral problems. Zbl 0801.73044Lancaster, Peter; Shkalikov, A. 9 1994 On an operator pencil arising in the problem of beam oscillation with internal damping. Zbl 0944.47031Shkalikov, A. A.; Griniv, R. O. 7 1994 Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities. Zbl 0819.76100Mennicken, R.; Schmid, H.; Shkalikov, A. A. 2 1994 Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009Lancaster, P.; Shkalikov, A.; Ye, Qiang 18 1993 Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction. Zbl 0794.73034Shkalikov, A. A. 1 1993 The problem of steady-state oscillations of transversally isotropic half- cylinder. Zbl 0772.73053Shkalikov, A. A.; Shkred, A. V. 3 1992 A problem on stationary vibrations of a transversally isotropic semi- cylinder. Zbl 0746.73014Shkalikov, A. A.; Shkred, A. V. 3 1991 Elliptic equations in Hilbert space and associated spectral problems. Zbl 0703.34083Shkalikov, A. A. 9 1990 Elliptic equations in Hilbert space and spectral problems connected with them. Zbl 0695.34023Shkalikov, A. A. 27 1989 Strongly damped pencils of operators and solvability of the corresponding operator-differential equations. Zbl 0668.47010Shkalikov, A. A. 7 1989 Compact perturbations of overdamped operator pencils. Zbl 0677.47011Shkalikov, A. A.; Pliev, V. T. 1 1989 Overdamped operator pencils and solvability of corresponding operator- differential equations. Zbl 0652.47011Shkalikov, A. A. 5 1988 On selection principles and properties of a part of eigen- and associated elements of operator bundles. Zbl 0661.47017Shkalikov, A. A. 4 1988 Selection principles and properties of some proper and adjoined elements of operator pencils. Zbl 0708.47014Shkalikov, A. A. 3 1988 Boundary problems for ordinary differential equations with parameter in the boundary conditions. Zbl 0609.34019Shkalikov, A. A. 61 1986 On the minimality of the derivative chains corresponding to the part of eigen and associated elements of selfadjoint operator pencils. Zbl 0591.47014Shkalikov, A. A. 3 1985 On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils. Zbl 0666.42019Shkalikov, A. A. 2 1985 Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Zbl 0565.30025Shkalikov, A. A. 1 1985 Theorems of Tauberian type on the distribution of the zeros of holomorphic functions. Zbl 0545.30021Shkalikov, A. A. 9 1984 Operator differential equations on a semiaxis and related spectral problems for selfadjoint pencils of operators. Zbl 0596.34033Shkalikov, A. A. 2 1984 Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution. Zbl 0545.30020Shkalikov, A. A. 2 1984 Boundary value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0553.34014Shkalikov, A. A. 92 1983 Self\(adjoint\) quadratic operator pencils and elliptic problems. Zbl 0531.47017Kostyuchenko, A. G.; Shkalikov, A. A. 20 1983 Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions. Zbl 0515.34019Shkalikov, A. A. 7 1983 Some questions of the theory of polynomial operator pencils. Zbl 0527.47012Shkalikov, A. A. 5 1983 Some problems in the theory of polynomial operator pencils. Zbl 0557.47011Shkalikov, A. A. 2 1983 On the theory of selfadjoint quadratic bundles of operators. Zbl 0708.47015Kostyuchenko, A. G.; Shkalikov, A. A. 1 1983 The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions. Zbl 0565.34020Shkalikov, A. A. 22 1982 Estimates of meromorphic functions and summability theorems. Zbl 0521.47012Shkalikov, A. A. 4 1982 Property of the eigenvectors of quadratic operator pencils of being a basis. Zbl 0493.47012Shkalikov, A. A. 2 1981 On the basis problem of the eigenfunctions of an ordinary differential operator. Zbl 0471.34014Shkalikov, A. A. 36 1979 Über die Basiseigenschaften der Eigenfunktionen eines gewöhnlichen Differentialoperators. Zbl 0438.34021Shkalikov, A. A. 1 1979 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 637 Authors 46 Shkalikov, Andreĭ Andreevich 18 Jeribi, Aref 18 Savchuk, Artem M. 18 Tretter, Christiane 16 Akhtyamov, Azamat Moukhtarovich 13 Mityagin, Boris Samuilovich 13 Veliev, Oktay Alish 13 Wang, Junmin 12 Malamud, Mark M. 12 Vlasov, Viktor Valentinovich 10 Möller, Manfred 10 Motovilov, Aleksandr Konstantinovich 10 Sadovnichiĭ, Viktor Antonovich 10 Sultanaev, Yaudat Talgatovich 9 Aliyev, Ziyatkhan S. 9 Freiling, Gerhard 9 Kerimov, Nazim B. 9 Kostenko, Aleksey S. 9 Mennicken, Reinhard 9 Vladimirov, Anton A. 8 Albeverio, Sergio A. 8 Aliev, Araz R. 8 Djakov, Plamen B. 8 Kappeler, Thomas 8 Langer, Heinz 8 Mirzoev, Karakhan Agakhan 8 Rautian, Nadegda Aleksandrovna 8 Sadovnichaya, I. V. 7 Eckhardt, Jonathan 7 Moalla, Nedra 7 Mukhtarov, Oktay Sh. 7 Xu, Gen-Qi 7 Yurko, Vjacheslav Anatoljevich 6 Ammar, Aymen 6 Ben Amara, Jamel 6 Bruk, Vladislav Moiseevich 6 Guo, Bao-Zhu 6 Hryniv, Rostyslav O. 6 Kritskov, Leonid V. 6 Shafarevich, Andreĭ Igorevich 6 Siegl, Petr 6 Topalov, Peter J. 6 Trunk, Carsten 5 Gesztesy, Fritz 5 Güldü, Yalçın 5 Ishkin, Khabir Kabirovich 5 Kanguzhin, Baltabek Esmatovich 5 Kapustin, N. Yu 5 Konechnaya, Natal’ya Nikolaevna 5 Kozlov, Valeriĭ Vasil’evich 5 Krichen, Bilel 5 Langer, Matthias 5 Lunyov, Anton A. 5 Mirzoev, Sabir Sultanaga 5 Mitrokhin, Sergeĭ Ivanovich 5 Ozkan, Ahmet Sinan 5 Polyakov, Dmitriĭ Mikhaĭlovich 5 Teschl, Gerald 5 Vladykina, Veronika Evgen’evna 5 Walha, Ines 4 Binding, Paul Anthony 4 Buterin, Sergey Alexandrovich 4 Chen, Shaozhu 4 Imanbaev, Nurlan Sayramovich 4 Kaya, Ufuk 4 Kostyuchenko, Anatolii Gordeevich 4 Lomov, Igor’ Sergeevich 4 Mamedov, Khanlar R. 4 Mazzone, Giusy 4 Pechentsov, A. S. 4 Qi, Jiangang 4 Ran, André C. M. 4 Ugurlu, Ekin 4 Yang, Chuanfu 4 Yung, Siu Pang 3 Akdoğan, Zülfigar 3 Allahverdiev, Bilender Paşaoğlu 3 Baskakov, Anatoliĭ Grigor’evich 3 Behrndt, Jussi 3 Belyaev, Alexei A. 3 Boulton, Lyonell S. 3 Braeutigam, Irina N. 3 Browne, Patrick J. 3 Chen, Alatancang 3 Eryılmaz, Aytekin 3 Esina, A. I. 3 Guo, Yanni 3 Ibrogimov, Orif O. 3 Jovanovic, Vojin T. 3 Keskin, Baki 3 Khanmamedov, Agil Khanmamed ogly 3 Kostin, Andrey B. 3 Kurbanov, Vali M. 3 Lancaster, Peter 3 Makin, Alexander S. 3 Markus, Alexander S. 3 Molnar, Jan-Cornelius 3 Mykytyuk, Yaroslav V. 3 Naboko, Serguei N. 3 Nazarov, Alexander I. ...and 537 more Authors all top 5 Cited in 174 Serials 78 Mathematical Notes 60 Differential Equations 26 Journal of Mathematical Analysis and Applications 24 Journal of Differential Equations 22 Integral Equations and Operator Theory 21 Journal of Mathematical Sciences (New York) 19 Mathematische Nachrichten 19 Doklady Mathematics 18 Functional Analysis and its Applications 15 Journal of Functional Analysis 12 Siberian Mathematical Journal 11 Linear Algebra and its Applications 11 Ufimskiĭ Matematicheskiĭ Zhurnal 10 Journal of Mathematical Physics 10 Mathematical Methods in the Applied Sciences 10 Ukrainian Mathematical Journal 10 Results in Mathematics 9 Transactions of the Moscow Mathematical Society 9 Russian Mathematics 9 Mediterranean Journal of Mathematics 9 Boundary Value Problems 9 Complex Analysis and Operator Theory 8 Proceedings of the Steklov Institute of Mathematics 8 Eurasian Mathematical Journal 7 Theoretical and Mathematical Physics 7 Computational Mathematics and Mathematical Physics 7 Russian Journal of Mathematical Physics 6 Applicable Analysis 6 Moscow University Mathematics Bulletin 6 Russian Mathematical Surveys 5 Proceedings of the American Mathematical Society 5 St. Petersburg Mathematical Journal 5 Central European Journal of Mathematics 5 Analysis and Mathematical Physics 4 Archive for Rational Mechanics and Analysis 4 Israel Journal of Mathematics 4 Linear and Multilinear Algebra 4 Journal of Computational and Applied Mathematics 4 Systems & Control Letters 4 Journal of Inverse and Ill-Posed Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Dynamical and Control Systems 3 Communications in Mathematical Physics 3 Journal of Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 Letters in Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Computation 3 Mathematische Zeitschrift 3 Acta Applicandae Mathematicae 3 Physica D 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 Lobachevskii Journal of Mathematics 3 Journal of Pseudo-Differential Operators and Applications 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Quaestiones Mathematicae 2 Applied Mathematics Letters 2 SIAM Journal on Mathematical Analysis 2 Annales Mathématiques Blaise Pascal 2 Turkish Journal of Mathematics 2 Opuscula Mathematica 2 Izvestiya: Mathematics 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Advances in Difference Equations 2 Operators and Matrices 2 Journal of Spectral Theory 2 Afrika Matematika 2 Carpathian Mathematical Publications 2 Journal of Function Spaces 1 Acta Mechanica 1 International Journal of Control 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Moscow University Mechanics Bulletin 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Archiv der Mathematik 1 BIT 1 Calcolo 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik ...and 74 more Serials all top 5 Cited in 38 Fields 415 Ordinary differential equations (34-XX) 327 Operator theory (47-XX) 140 Partial differential equations (35-XX) 41 Mechanics of deformable solids (74-XX) 37 Quantum theory (81-XX) 32 Fluid mechanics (76-XX) 30 Functional analysis (46-XX) 25 Systems theory; control (93-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Integral equations (45-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Difference and functional equations (39-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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