Derivation of eigenrelations for the Sturm-Liouville boundary value problems with interior singularities

DOI10.1090/S0033-569X-07-01048-7zbMath1145.34055MaRDI QIDQ5441944

Thomas Mbah Acho

Publication date: 15 February 2008

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

zbMATH Keywords

Sturm-Liouville problemTitchmarsh-Weyl \(m\)-functionWhittaker functionAsymptotic approximationinterior singularitieseigenvalue relation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

Analysis of Sturm-Liouville eigenproblem with interior singularities and a perturbation parameter

Cites Work

• Sturm-Liouville differential operators in direct sum spaces
• Complex coordinate methods for hydrodynamic instabilities and Sturm- Liouville eigenproblems with an interior singularity
• Some comments on Sturm-Liouville eigenvalue problems with interior singularities
• Sturm-Liouville eigenproblems with an interior double pole
• Sturm–Liouville eigenproblems with an interior pole
• High-energy asymptotics of resonances for three-dimensional Schrödinger operator with screened Coulomb potential
• A Matching Technique and Structure Theorems for Sturm-liouville Boundary Value Problems with Interior Singularities
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