TRANSFORMATIONS BETWEEN STURM–LIOUVILLE PROBLEMS WITH EIGENVALUE DEPENDENT AND INDEPENDENT BOUNDARY CONDITIONS

DOI10.1112/S0024609301008177zbMath1030.34027WikidataQ126261029 ScholiaQ126261029MaRDI QIDQ3152333

Patrick J. Browne, Bruce Alastair Watson, Paul A. Binding

Publication date: 22 October 2002

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

almost isospectral Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (12)

Spectral properties of Sturm–Liouville system with eigenvalue-dependent boundary conditions ⋮ Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter ⋮ Integral characteristic function of a nonlinear Sturm-Liouville problem ⋮ Eigenvalues of a class of eigenparameter dependent third-order differential operators ⋮ Transformations of difference equations. I ⋮ Unnamed Item ⋮ Hierarchies of difference boundary value problems ⋮ Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter ⋮ Inverse and expansion problems with boundary conditions rationally dependent on the eigenparameter ⋮ Spectral singularities of Sturm-Liouville problems with eigenvalue-dependent boundary conditions ⋮ Sturm-Liouville problems with boundary conditions depending quadratically on the eigenparam\-eter ⋮ Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II

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