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Differential Equations

, Volume 52, Issue 8, pp 1088–1092 | Cite as

On a spectral problem for a classical biorthogonal system

  • N. Yu. KapustinEmail author
Short Communications
  • 24 Downloads

Abstract

We consider a mixed problem for a fourth-order equation and the corresponding spectral problem, which describes the system biorthogonal to the classical system of root functions for the loaded string problem.

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References

  1. 1.
    Kapustin, N.Yu. and Moiseev, E.I., On Spectral Problems with Spectral Parameter in the Boundary Condition, Differ. Uravn., 1997, vol. 33, no. 1, pp. 115–119.MathSciNetzbMATHGoogle Scholar
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    Kapustin, N.Yu. and Moiseev, E.I., On the Basis Property in the Space Lp of Eigenfunctions Corresponding to Two Problems with Spectral Parameter in the Boundary Condition, Differ. Uravn., 2000, vol. 36, no. 10, pp. 1357–1360.MathSciNetzbMATHGoogle Scholar
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    Moiseev, E.I. and Kapustin, N.Yu., An Estimate for the Solution of a Problem for a Parabolic-Hyperbolic Equation by Means of Fourier Series, Differ. Uravn., 2003, vol. 39, no. 5, pp. 656–662.MathSciNetzbMATHGoogle Scholar
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    Kapustin, N.Yu., On a Classical Problem with a Complex-Valued Coefficient and the Spectral Parameter in a Boundary Condition, Differ. Uravn., 2012, vol. 48, no. 5, pp. 701–706.MathSciNetCrossRefzbMATHGoogle Scholar
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    Moiseev, E.I. and Kapustin, N.Yu., On Singularities of the Root Space of a Spectral Problem with Spectral Parameter in the Boundary Condition, Dokl. Akad. Nauk, 2002, vol. 385, no. 1, pp. 20–24.MathSciNetzbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia

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