TRANSFORMATION OF STURM–LIOUVILLE PROBLEMS WITH DECREASING AFFINE BOUNDARY CONDITIONS

DOI10.1017/S0013091504000197zbMath1081.34026OpenAlexW2116370457MaRDI QIDQ4673917

Patrick J. Browne, Warren Joseph Code, Paul A. Binding, Bruce Alastair Watson

Publication date: 9 May 2005

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091504000197

zbMATH Keywords

eigenparameter-dependent boundary conditionsDarboux transformatinSturm-Lioville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (4)

Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter ⋮ Minimality conditions for Sturm-Liouville problems with a boundary condition depending affinely or quadratically on an eigenparameter ⋮ On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition ⋮ Sturm-Liouville problems with boundary conditions depending quadratically on the eigenparam\-eter

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