Multiple positive solutions for second-order m-point boundary value problems

DOI10.1016/j.jmaa.2006.04.006zbMath1109.34012OpenAlexW1969730359MaRDI QIDQ860581

Weihua Jiang, Yanping Guo

Publication date: 9 January 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.2006.04.006

zbMATH Keywords

Green's function\(m\)-point boundary value problemthe five functionals fixed-point theorem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) 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 (14)

Triple positive solutions for a second order \(m\)-point boundary value problem with a delayed argument ⋮ Existence and approximation of solution for a nonlinear second-order three-point boundary value problem ⋮ Existence of positive solutions for semipositone multi-point boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Positive solutions to singular system with four-point coupled boundary conditions ⋮ Multiple positive solutions for singular quasilinear multipoint BVPs with the first-order derivative ⋮ Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions ⋮ Two and three positive solutions of m-point boundary value problems for functional dynamic equations on time scales ⋮ Moment convergence rates in the law of the logarithm for dependent sequences ⋮ Monotone positive solutions of second-order multi-point boundary value problems ⋮ The existence of positive solutions for second-order multi-point BVPs with the first derivative ⋮ Successive iteration technique for singular nonlinear system with four-point boundary conditions ⋮ The existence of three positive solutions for some nonlinear boundary value problems on the half-line ⋮ On the existence of nonnegative solutions to an integral equation with applications to boundary value problems

Cites Work

• A generalized multi-point boundary value problem for second order ordinary differential equations
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• A sharper condition for the solvability of a three-point second order boundary value problem
• Existence theorems for a second order \(m\)-point boundary value problem
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Three symmetric positive solutions for a second-order boundary value problem
• Three positive solutions for second-order \(m\)-point boundary value problems
• On an M-point boundary value problem
• Positive solutions for second-order three-point boundary value problems
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