Multiple positive solutions of boundary value problems for systems of nonlinear second-order differential equations

DOI10.1016/j.jmaa.2006.11.031zbMath1127.34010OpenAlexW1997880926MaRDI QIDQ2642170

Lianglong Wang, Ling Hu

Publication date: 20 August 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.2006.11.031

zbMATH Keywords

existencemultiplicitypositive solutionboundary value problemfixed point theorem

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (15)

On a system of second-order multi-point boundary value problems on time scales ⋮ Existence of positive solutions for the system of higher order two-point boundary value problems ⋮ Computation of fixed point index and its applications ⋮ Positive solutions of a system of second order boundary value problems involving first order derivatives via \(\mathbb R^n_+\)-monotone matrices ⋮ On spectral properties of the Sturm-Liouville operator with power nonlinearity ⋮ Positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions ⋮ Positive solutions for system of \(2n\)-th order Sturm-Liouville boundary value problems on time scales ⋮ Eigenvalue problems for systems of nonlinear boundary value problems on time scales ⋮ Positive solutions of a system of coupled second order equations with three point boundary conditions ⋮ Existence of solutions and nonnegative solutions for a class of \(p(t)\)-Laplacian differential systems with multipoint and integral boundary value conditions ⋮ Existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular second order differential system with a parameter ⋮ Existence of positive solutions for systems of nonlinear third-order differential equations ⋮ Coupled lower and upper solution approach for the existence of Solutions of nonlinear coupled system with nonlinear coupled boundary conditions ⋮ POSITIVE SOLUTIONS FOR ITERATIVE SYSTEMS OF NONLINEAR BOUNDARY VALUE PROBLEMS ON TIME SCALES ⋮ Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations

Cites Work

• Multiple nonnegative solutions of second-order systems of boundary value problems
• Existence of non-trivial solution for superlinear system of integral equations and its applications
• On the Existence of Positive Solutions of Ordinary Differential Equations
• On the existence of positive solutions of nonlinear second order differential equations
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