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A. A. Shkalikov
Articles in Scholarly Journals [Incomplete List]
On the properties of maps connected with inverse Sturm-Liouville problems
Proceedings of the Steklov Institute of Mathematics, vol. 260, no. 1, pp. 218–237, 2008
Spectral analysis of the Redge problem
Journal of Mathematical Sciences, vol. 144, no. 4, pp. 4292–4300, 2007
Dissipative operators in the Krein space. Invariant subspaces and properties of restrictions
Functional Analysis and Its Applications, vol. 41, no. 2, pp. 154–167, 2007
Regular and completely regular differential operators
Mathematical Notes, vol. 81, no. 3-4, pp. 566–570, 2007
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces
Mathematical Notes, vol. 80, no. 5-6, pp. 814–832, 2006
Strongly elliptic operators with singular coefficients
Russian Journal of Mathematical Physics, vol. 13, no. 1, pp. 70–78, 2006
Exponential Decay of Solution Energy for Equations Associated with Some Operator Models of Mechanics
Functional Analysis and Its Applications, vol. 38, no. 3, pp. 163–172, 2004
Spectral Portraits of the Orr-Sommerfeld Operator with Large Reynolds Numbers
Journal of Mathematical Sciences, vol. 124, no. 6, pp. 5417–5441, 2004
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 133, no. 04, p. 893, 2003
Journal of Mathematical Sciences, vol. 114, no. 4, pp. 1571–1588, 2003
Mathematical Notes, vol. 73, no. 5/6, pp. 618–624, 2003
Mathematical Notes, vol. 72, no. 3/4, pp. 519–526, 2002
Izvestiya: Mathematics, vol. 66, no. 4, p. 829, 2002
Functional Analysis and Its Applications, vol. 36, no. 3, pp. 228–232, 2002
Mathematical Notes, vol. 71, no. 5/6, pp. 587–594, 2002
Mathematical Notes, vol. 69, no. 3/4, pp. 387–400, 2001
Sturm-liouville operators with singular potentials
Mathematical Notes, vol. 66, no. 6, pp. 741–753, 1999
A sturm-liouville problem with physical and spectral parameters in boundary conditions
Mathematical Notes, vol. 66, no. 2, pp. 127–134, 1999
Schrödinger operators with singular potentials from the space of multiplicators
Mathematical Notes, vol. 66, no. 5, pp. 599–607, 1999
On the stability of a top with a cavity filled with a viscous fluid
Functional Analysis and Its Applications, vol. 32, no. 2, pp. 100–113, 1998
On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter
Mathematische Nachrichten, vol. 189, no. 1, pp. 157–170, 1998
The limit behavior of the spectrum for large parameter values in a model problem
Mathematical Notes, vol. 62, no. 6, pp. 796–799, 1997
Spectral Analysis for Linear PencilsN — λP of Ordinary Differential Operators
Mathematische Nachrichten, vol. 179, no. 1, pp. 275–305, 1996
Spectral Decomposition of Symmetric Operator Matrices
Mathematische Nachrichten, vol. 179, no. 1, pp. 259–273, 1996
On the essential spectrum of matrix operators
Mathematical Notes, vol. 58, no. 6, pp. 1359–1362, 1995
The Essential Spectrum of Some Matrix Operators
Mathematische Nachrichten, vol. 167, no. 1, pp. 5–20, 1994
On an operator pencil arising in the problem of beam oscillation with internal damping
Mathematical Notes, vol. 56, no. 2, pp. 840–851, 1994
Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction
Mathematical Notes, vol. 53, no. 2, pp. 223–234, 1993
Strongly definitizable linear pencils in Hilbert space
Integral Equations and Operator Theory, vol. 17, no. 3, pp. 338–360, 1993
The problem on the steady-state oscillations of a transversally isotropic semicylinder with a free boundary
Functional Analysis and Its Applications, vol. 25, no. 2, pp. 155–158, 1991
Elliptic equations in hilbert space and associated spectral problems
Journal of Soviet Mathematics, vol. 51, no. 4, pp. 2399–2467, 1990
Compact perturbations of strongly damped operator pencils
Mathematical Notes of the Academy of Sciences of the USSR, vol. 45, no. 2, pp. 167–174, 1989
Boundary problems for ordinary differential equations with parameter in the boundary conditions
Journal of Soviet Mathematics, vol. 33, no. 6, pp. 1311–1342, 1986
Zero Distribution for Pairs of Holomorphic Functions with Applications to Eigenvalue Distribution
Transactions of the American Mathematical Society, vol. 281, no. 1, p. 49, 1984
Self-adjoint quadratic operator pencils and elliptic problems
Functional Analysis and Its Applications, vol. 17, no. 2, pp. 109–128, 1983
Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
Functional Analysis and Its Applications, vol. 16, no. 4, pp. 324–326, 1983
The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions
Functional Analysis and Its Applications, vol. 10, no. 4, pp. 305–316, 1977
The n-fold basis property of the characteristic functions of certain regular boundary-value problems
Siberian Mathematical Journal, vol. 17, no. 3, pp. 483–492, 1977