Asymptotic formulae for eigenvalues of limit circle problems on a half line

DOI10.1007/BF01781077zbMath0597.34024MaRDI QIDQ1078741

F. V. Atkinson, Charles T. Fulton

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenfunctionsWKB approximationPrüfer transformationlimit-circle eigenvalue problemOlver's uniform asymptotic expansionpositive spectrumturning-point analysis

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Ordinary differential operators (34L99)

Related Items

Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity, I, Eigenvalue asymptotics for the Sturm-Liouville operator with potential having a strong local negative singularity, On sampling associated with singular Sturm-Liouville eigenvalue problems: The limit-circle case., Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter., Asymptotics for the eigenvalues of a fourth order differential operator in a “degenerate” case

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