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Spectral problem for an equation of high even order

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Abstract

We study an eigenvalue problem for an equation of even order in a rectangular domain. We investigate distribution and asymptotics of eigenvalues and explore their difference under variation of the potential q(x, y).

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References

  1. Titchmarsh, E. Ch., Eigenfunction Expansions Associated with Second-order Differential Equations (Oxford University Press, 1958), Vol. 2.

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  2. Courant, R. and Hilbert, D. Methods of Mathematical Physics (Wiley, 1989), Vol. 2.

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Authors and Affiliations

  1. Namangan Engineering Pedagogical Institute, ul. Dustlik 12, Namangan, 160103, Republic of Uzbekistan

    B. Yu. Irgashev

Authors
  1. B. Yu. Irgashev
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Correspondence to B. Yu. Irgashev.

Additional information

Original Russian Text © B.Yu. Irgashev, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 7, pp. 44–54.

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Irgashev, B.Y. Spectral problem for an equation of high even order. Russ Math. 60, 37–46 (2016). https://doi.org/10.3103/S1066369X16070069

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  • DOI: https://doi.org/10.3103/S1066369X16070069

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