Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite weights

DOI10.1017/S0308210500025567zbMath0558.47019OpenAlexW2312304080MaRDI QIDQ3223400

Man Kam Kwong, Hans G. Kaper, Anton Zettl, C. Gerrit Lekkerkerker

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500025567

zbMATH Keywords

eigenvalue problemsequivalence of normsselfadjoint positive operatorleft-definiteAsymptotic estimates of the eigenvalues and eigenfunctionsfull-range and partial range expansion properties of the eigenfunctionspartial-range completenessright-indefinite Sturm-Liouville equationsecond-order Sturm-Liouville differential expression

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Half-range solutions of indefinite Sturm-Liouville problems, Constructing solutions to two-way diffusion problems, The similarity problem for \(J\)-nonnegative Sturm-Liouville operators, The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems, A class of linear kinetic equations in a Krein space setting, Linear elliptic eigenvalue problems involving an indefinite weight, A non-selfadjoint general matrix eigenvalue problem, A transport equation for relativistic particles, Full and partial-range eigenfunction expansions for a multiparameter system of differential equations, Indefinite elliptic spectral problems, Asymptotic analysis of a singular Sturm-Liouville boundary value problem, Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function, On uniform and \(L^ p\)-convergence of eigenfunction expansions for indefinite eigenvalue problems, A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function, Abstract Kinetic Equations with Positive Collision Operators, Sturm–Liouville problems with indefinite weights and Everitt's inequality, Inverse spectral problems for left-definite Sturm-Liouville equations with indefinite weight, Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation, On the regularity of the critical point infinity of definitizable operators

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