Multiple solutions of boundary value problems with \(\phi\)-Laplacian operators and under a wintner-Nagumo growth condition

DOI10.1186/1687-2770-2013-236zbMath1291.34043OpenAlexW2140575389WikidataQ59295077 ScholiaQ59295077MaRDI QIDQ2252567

Noha El Khattabi, Nourredine Ayyadi, Marlène Frigon

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-236

zbMATH Keywords

upper and lower solutionsboundary value problemmultiple solutionsfixed point indexsecond-order differential equation\(\phi\)-LaplacianWintner-Nagumo growth condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items

Boundary value problems for differential inclusions with \(\varphi\)-Laplacian ⋮ Existence results for boundary value problems associated with singular strongly nonlinear equations ⋮ Boundary value problems for strongly nonlinear equations under a Wintner-Nagumo growth condition ⋮ Differential equations involving homeomorphism with nonlinear boundary conditions ⋮ Schauder's theorem and the method of a priori bounds ⋮ Boundary value problems for singular second order equations ⋮ Boundary value problems associated with singular strongly nonlinear equations with functional terms ⋮ On the solvability of singular boundary value problems on the real line in the critical growth case ⋮ On the existence of weak solutions for singular strongly nonlinear boundary value problems on the half-line ⋮ Heteroclinic solutions for a class of boundary value problems associated with singular equations

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