Asymptotic behavior of eigenvalues of a boundary value problem for a second-order elliptic differential-operator equation with spectral parameter quadratically occurring in the boundary condition

DOI10.1134/S0012266118090124zbMath1412.34236OpenAlexW2895974484WikidataQ115250655 ScholiaQ115250655MaRDI QIDQ1711288

B. A. Aliev

Publication date: 17 January 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118090124

zbMATH Keywords

eigenvalue problemSturm-Liouville problemasymptotic behavior of eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear differential equations in abstract spaces (34G10) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (6)

Asymptotics of the eigenvalues of a boundary value problem for the operator Schrödinger equation with boundary conditions nonlinearly dependent on the spectral parameter ⋮ Asymptotic behavior of eigenvalues of a boundary value problem for a second-order elliptic differential-operator equation with spectral parameter in the equation and a boundary condition ⋮ On the nonclassical asymptotics of the eigenvalues of a boundary value problem for a second-order differential-operator equation ⋮ Solvability of a boundary value problem for elliptic differential-operator equations of the second order with a quadratic complex parameter ⋮ Unnamed Item ⋮ Statements of linearized boundary value problems of continuum mechanics with a spectral parameter in the boundary conditions

Cites Work

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• On the uniform convergence in \(C^{1}\) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition
• On a spectral problem in the theory of the heat operator
• Asymptotic behavior of the eigenvalues of a boundary-value problem for a second-order elliptic operator-differential equation
• Asymptotic distribution of the eigenvalues of some boundary-value problems for Sturm-Liouville operator equations

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