Higher-order asymptotic formula for the eigenvalues of Sturm-Liouville problem with \(n\) turning points

DOI10.1016/j.jmaa.2009.01.015zbMath1229.34127OpenAlexW2021673615MaRDI QIDQ986566

A. Jodayree Akbarfam, Farhad Dastmalchi Saei

Publication date: 11 August 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.015

zbMATH Keywords

asymptotic distributioneigenvaluesturning pointSturm-Liouvillenon-definite

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear ordinary differential equations and systems (34A30) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Cites Work

• On the distribution of the eigenvalues of a class of indefinite eigenvalue problems
• The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points
• Higher order asymptotic distribution of the eigenvalues of nondefinite Sturm-Liouville problems with one turning point
• Distribution of Eigenvalues in the Presence of Higher Order Turning Points
• Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points
• The asymptotic form of the Titchmarsh‐weylm‐function associated with a non‐definite, linear, second order differential equation
• Asymptotics of the eigenvalues of an indefinite Sturm-Liouville problem
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