On sign-changing solutions for nonlinear operator equations

DOI10.1016/j.jmaa.2006.04.064zbMath1114.47052OpenAlexW2065953618MaRDI QIDQ860636

Zhanping Liang, Fuyi Li, Yuhua Li, Qi Zhang

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.064

zbMATH Keywords

conetopological degreefixed point indexcompletely continuous operator3-solution theorem

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (11)

Sign-changing solutions for asymptotically linear operator equations and applications ⋮ Existence of multiple solutions to second-order discrete Neumann boundary value problems ⋮ Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence ⋮ Multiple solutions of Sturm-Liouville boundary value problem via lower and upper solutions and variational methods ⋮ Existence of sign-changing solutions for the \(p\)-Laplacian equation from linking type theorem ⋮ Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance ⋮ Sign-changing solutions to second-order integral boundary value problems ⋮ Existence of positive, negative and sign-changing periodic solutions for a class of integral equations ⋮ Sign-changing and multiple solutions of the Sturm-Liouville boundary value problem via invariant sets of descending flow ⋮ Existence of sign-changing solutions for some asymptotically linear three-point boundary value problems ⋮ Existence of multiple solutions for nonlinear multi-point boundary value problems

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