Existence and multiplicity of positive solutions for nonlinear boundary value problems with a parameter

DOI10.1016/j.camwa.2011.04.039zbMath1229.34036OpenAlexW2070719549MaRDI QIDQ640541

Shiguo Peng, Chuanyong Chen, Tieshan He, Fengjian Yang

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.039

zbMATH Keywords

existencemultiplicitypositive solutionboundary value problemfixed point index

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (8)

Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter ⋮ Existence result for impulsive differential equations with integral boundary conditions ⋮ Eigenvalue criteria for existence of positive solutions of impulsive differential equations with non-separated boundary conditions ⋮ On spectral properties of the Sturm-Liouville operator with power nonlinearity ⋮ A new algorithm for nonlinear fourth order multi-point boundary value problems ⋮ Nontrivial solutions for an impulsive differential equation with non-separated boundary conditions ⋮ Positive solutions of periodic boundary value problems for second-order differential equations with the nonlinearity dependent on the derivative ⋮ Existence and multiplicity results for nonlinear differential equations depending on a parameter in semipositone case

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