On the approximation of the first eigenvalue of some boundary value problems

DOI10.1134/s0965542524700465zbMATH Open1548.34017MaRDI QIDQ6588153

M. Yu. Vatolkin

Publication date: 15 August 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenfunctionsboundary eigenvalue problemsroots of equationsCauchy functionestimates for coefficients of power seriesrepresentation of eigenfunctions by power series

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Asymptotics of solutions to linear differential equations of odd order
• Recent developments in Sturm-Liouville theory
• An irregular extension of the oscillation theory of the Sturm-Liouville spectral problem
• Sturm-Liouville operators with singular potentials
• Asymptotics of eigenvalues of differential operator with alternating weight function
• The leading term of the asymptotics of solutions of linear differential equations with first-order distribution coefficients
• Asymptotics of eigenvalues of fourth order differential operator with alternating weight function
• Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem
• Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions
• Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• On an adequate description of adjoint operator
• SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
• Sturm-Liouville oscillation theory for impulsive problems
• The Regular Representation of Singular Second-Order Differential Expressions Using Quasi-Derivatives
• Some problems of the qualitative Sturm-Liouville theory on a spatial network
• Characterization of self-adjoint domains for regular even order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> </mml:math>-symmetric differential operators
• Sturm–Liouville operators
• On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential
• Asymptotics of the spectrum of even-order differential operators with discontinuos weight functions

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