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On the Nonclassical Asymptotics of the Eigenvalues of a Boundary Value Problem for a Second-Order Differential-Operator Equation

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Abstract

In a separable Hilbert space \(H\), we study the asymptotic behavior of the eigenvalues of a boundary value problem for a second-order differential-operator equation. The spectral parameter of the problem occurs linearly in the equation and as a quadratic trinomial in one of the boundary conditions. Asymptotic formulas for the eigenvalues of the problem are found.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, AZ1141, Azerbaijan

    B. A. Aliev

  2. Azerbaijan State Pedagogical University, Baku, 370000, Azerbaijan

    B. A. Aliev

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  1. B. A. Aliev
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Correspondence to B. A. Aliev.

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Translated by V. Potapchouck

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Aliev, B.A. On the Nonclassical Asymptotics of the Eigenvalues of a Boundary Value Problem for a Second-Order Differential-Operator Equation. Diff Equat 58, 1571–1578 (2022). https://doi.org/10.1134/S00122661220120011

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  • DOI: https://doi.org/10.1134/S00122661220120011

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