Higher order asymptotic distribution of the eigenvalues of nondefinite Sturm-Liouville problems with one turning point

DOI10.1016/S0377-0427(02)00487-9zbMath1019.34081OpenAlexW1973544525MaRDI QIDQ1860505

A. Jodayree Akbarfam, Angelo B. Mingarelli

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00487-9

zbMATH Keywords

asymptotic distributioneigenvaluesSturm-Liouville problemsturning pointnondefinite

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (4)

The uniqueness of the solution of dual equations of an inverse indefinite Sturm--Liouville problem ⋮ Higher-order asymptotic formula for the eigenvalues of Sturm-Liouville problem with \(n\) turning points ⋮ FEAST for Differential Eigenvalue Problems ⋮ Duality for an indefinite inverse Sturm-Liouville problem

Cites Work

• Higher-order asymptotic approximations to the eigenvalues of the Sturm-Liouville problem in one turning point case
• A survey of the regular weighted Sturm-Liouville problem - The non-definite case
• On the zeros of exponential sums and integrals
• The asymptotic form of the Titchmarsh‐weylm‐function associated with a non‐definite, linear, second order differential equation
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