Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions

DOI10.4153/CJM-2002-043-6zbMath1038.47033OpenAlexW2060511465MaRDI QIDQ4800219

Branko Ćurgus, Paul A. Binding

Publication date: 2002

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2002-043-6

zbMATH Keywords

eigenfunction expansionseigenparameter-dependent boundary conditionsform domainSobolev space convergence

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear operators on spaces with an indefinite metric (47B50) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Basis properties in \({L}_{p}\) of root functions of Sturm-Liouville problem with spectral parameter-dependent boundary conditions ⋮ On uniform convergence of the inverse Fourier transform for differential equations and Hamiltonian systems with degenerating weight ⋮ On eigenfunction expansions of differential equations with degenerating weight ⋮ Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space

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