Successive iteration and positive symmetric solutions for some Sturm-Liouville-like four-point \(p\)-Laplacian boundary value problems

DOI10.1016/J.AMC.2007.12.036zbMath1160.34019OpenAlexW2034858352MaRDI QIDQ945277

Chunmei Miao, Weigao Ge, Bo Sun

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.036

zbMATH Keywords

\(p\)-Laplacianpositive symmetric solutionssuccessive iterationSturm-Liouville-like boundary value problems

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

Existence of symmetric positive solutions for a class of Sturm-Liouville-like boundary value problems ⋮ Successively iterative method of nonlinear Neumann boundary value problems ⋮ Monotone iteration method for differential equations involving integral boundary conditions on the half line ⋮ Existence of positive solutions for Sturm-Liouville-like boundary value problem with \(p\)-Laplacian on time scales ⋮ Successive iteration and positive solutions for nonlinear \(m\)-point boundary value problems on time scales

Cites Work

• Unnamed Item
• Existence and iteration of monotone positive solutions for multipoint boundary value problem with \(p\)-Laplacian operator
• Symmetric positive solutions of nonlinear boundary value problems
• A generalized multi-point boundary value problem for second order ordinary differential equations
• New existence theorems of positive solutions for Sturm-Liouville boundary value problems
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian
• The existence of positive solutions for the Sturm-Liouville boundary value problems.
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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