Existence and iteration of positive solutions for a generalized right-focal boundary value problem with \(p\)-Laplacian operator

DOI10.1016/J.JMAA.2005.10.086zbMath1115.34029OpenAlexW2068515867MaRDI QIDQ855648

De-Xiang Ma, Cuilian Zhou

Publication date: 7 December 2006

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.2005.10.086

zbMATH Keywords

iterationpositive solution\(p\)-Laplacianmulti-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (21)

Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions ⋮ Triple positive solutions to third order three-point BVP with increasing homeomorphism and positive homomorphism ⋮ Multiple positive solutions of nonlinear third-order BVP for a class of \(p\)-Laplacian dynamic equations on time scales ⋮ Solvability of right focal boundary value problems with superlinear growth conditions ⋮ On the nonhomogeneous fourth-order \(p\)-Laplacian generalized Sturm-Liouville nonlocal boundary value problems ⋮ Positive solutions for \(n\)th-order \(m\)-point \(p\)-Laplacian operator singular boundary value problems ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Twin positive solutions of a nonlinear \(m\)-point boundary value problem for third-order \(p\)-Laplacian dynamic equations on time scales ⋮ Triple positive solutions for a class of third-order p-Laplacian singular boundary value problems ⋮ Multiple positive solutions of \(m\)-point BVPs for third-order \(p\)-Laplacian dynamic equations on time scales ⋮ Existence of three positive solutions of third-order with \(m\)-point impulsive boundary value problems ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP with \(p\)-Laplacian ⋮ Existence and iteration of positive solutions for a three-point boundary value problem of second order integro-differential equation with \(p\)-Laplace operator ⋮ Existence and uniqueness of a nontrivial solution for a class of third-order nonlinear \(p\)-Laplacian \(m\)-point eigenvalue problems on time scales ⋮ Positive solutions of nonlinear third-order \(m\)-point BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity ⋮ Eigenvalue problems for nonlinear third-orderm-pointp-Laplacian dynamic equations on time scales ⋮ Positive solutions for third-order nonlinear \(p\)-Laplacian \(m\)-point boundary value problems on time scales ⋮ The existence of positive solutions for third-order \(p\)-Laplacian \(m\)-point boundary value problems with sign changing nonlinearity on time scales ⋮ Existence of positive solutions to multi-point third order problems with sign changing nonlinearities ⋮ Triple positive solutions for third-order \(m\)-point boundary value problems on time scales

Cites Work

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• A generalized multi-point boundary value problem for second order ordinary differential equations
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• Positive solutions for (n − 1, 1) conjugate boundary value problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On an M-point boundary value problem
• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems
• Existence of solutions of nonlinear \(m\)-point boundary-value problems
• Multiple solutions and eigenvalues for third-order right focal boundary value problems

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