A. A. Shkalikov

Articles in Scholarly Journals [Incomplete List]

  1. 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
  2. Spectral analysis of the Redge problem
    Journal of Mathematical Sciences, vol. 144, no. 4, pp. 4292–4300, 2007
  3. 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
  4. Regular and completely regular differential operators
    Mathematical Notes, vol. 81, no. 3-4, pp. 566–570, 2007
  5. On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces
    Mathematical Notes, vol. 80, no. 5-6, pp. 814–832, 2006
  6. Strongly elliptic operators with singular coefficients
    Russian Journal of Mathematical Physics, vol. 13, no. 1, pp. 70–78, 2006
  7. 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
  8. Spectral Portraits of the Orr-Sommerfeld Operator with Large Reynolds Numbers
    Journal of Mathematical Sciences, vol. 124, no. 6, pp. 5417–5441, 2004
  9. 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
  10. Journal of Mathematical Sciences, vol. 114, no. 4, pp. 1571–1588, 2003
  11. Mathematical Notes, vol. 73, no. 5/6, pp. 618–624, 2003
  12. Mathematical Notes, vol. 72, no. 3/4, pp. 519–526, 2002
  13. Izvestiya: Mathematics, vol. 66, no. 4, p. 829, 2002
  14. Functional Analysis and Its Applications, vol. 36, no. 3, pp. 228–232, 2002
  15. Mathematical Notes, vol. 71, no. 5/6, pp. 587–594, 2002
  16. Mathematical Notes, vol. 69, no. 3/4, pp. 387–400, 2001
  17. Sturm-liouville operators with singular potentials
    Mathematical Notes, vol. 66, no. 6, pp. 741–753, 1999
  18. A sturm-liouville problem with physical and spectral parameters in boundary conditions
    Mathematical Notes, vol. 66, no. 2, pp. 127–134, 1999
  19. Schrödinger operators with singular potentials from the space of multiplicators
    Mathematical Notes, vol. 66, no. 5, pp. 599–607, 1999
  20. 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
  21. On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter
    Mathematische Nachrichten, vol. 189, no. 1, pp. 157–170, 1998
  22. The limit behavior of the spectrum for large parameter values in a model problem
    Mathematical Notes, vol. 62, no. 6, pp. 796–799, 1997
  23. Spectral Analysis for Linear PencilsN — λP of Ordinary Differential Operators
    Mathematische Nachrichten, vol. 179, no. 1, pp. 275–305, 1996
  24. Spectral Decomposition of Symmetric Operator Matrices
    Mathematische Nachrichten, vol. 179, no. 1, pp. 259–273, 1996
  25. On the essential spectrum of matrix operators
    Mathematical Notes, vol. 58, no. 6, pp. 1359–1362, 1995
  26. The Essential Spectrum of Some Matrix Operators
    Mathematische Nachrichten, vol. 167, no. 1, pp. 5–20, 1994
  27. On an operator pencil arising in the problem of beam oscillation with internal damping
    Mathematical Notes, vol. 56, no. 2, pp. 840–851, 1994
  28. 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
  29. Strongly definitizable linear pencils in Hilbert space
    Integral Equations and Operator Theory, vol. 17, no. 3, pp. 338–360, 1993
  30. 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
  31. Elliptic equations in hilbert space and associated spectral problems
    Journal of Soviet Mathematics, vol. 51, no. 4, pp. 2399–2467, 1990
  32. 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
  33. Boundary problems for ordinary differential equations with parameter in the boundary conditions
    Journal of Soviet Mathematics, vol. 33, no. 6, pp. 1311–1342, 1986
  34. 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
  35. Self-adjoint quadratic operator pencils and elliptic problems
    Functional Analysis and Its Applications, vol. 17, no. 2, pp. 109–128, 1983
  36. 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
  37. 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
  38. 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