Existence and uniqueness of a nontrivial solution for a class of third-order nonlinear \(p\)-Laplacian \(m\)-point eigenvalue problems on time scales

DOI10.1016/j.na.2008.02.088zbMath1168.34007OpenAlexW1992588944MaRDI QIDQ1001859

Maoxing Liu, Wei Han

Publication date: 19 February 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.2008.02.088

zbMATH Keywords

eigenvalue problemnontrivial solutionstime scalefixed-point theoremsLeray-Schauder nonlinear alternative

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Additive difference equations (39A10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

Existence of positive solutions for boundary value problems of \(p\)-Laplacian difference equations ⋮ Solvability of a higher-order three-point boundary value problem on time scales ⋮ Some new existence results of positive solutions to an even-order boundary value problem on time scales ⋮ Eigenvalue problems for nonlinear third-orderm-pointp-Laplacian dynamic equations on time scales

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