On the eigenfunction expansions associated with semilinear Sturm-Liouville-type problems

DOI10.1016/j.na.2008.09.004zbMath1162.34363OpenAlexW2022744867MaRDI QIDQ1015118

Peter E. Zhidkov

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.09.004

zbMATH Keywords

Fourier transformRiesz basiseigenvalue problemboundary value problemeigenfunction expansionbasislinear independencecompleteness of eigenfunctionsautonomous equationsemilinear Sturm-Liouville operatorBari theoremproblem in a bounded intervalproblem in a half-line

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) General harmonic expansions, frames (42C15) Nonlinear ordinary differential operators (34L30) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Ordinary differential operators (34L99)

Related Items

Eigenvalue problems of second order impulsive differential equations, On the existence, uniqueness, and basis properties of radial eigenfunctions of a semilinear second-order elliptic equation in a ball

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