Green functions and positive solutions for boundary value problems of third-order difference equations

DOI10.1016/j.camwa.2007.01.032zbMath1130.39012OpenAlexW1971678258MaRDI QIDQ2460614

Pei-xuan Weng, Chun-Ming Yang

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.01.032

Mathematics Subject Classification ID

Related Items (10)

Positive solutions of boundary value problem for singular positone and semi-positone third-order difference equations ⋮ Existence of bounded positive solutions for partial difference equations with delays ⋮ Studies on nonhomogeneous multi-point BVPs of difference equations with one-dimensional \(p\)-Laplacian ⋮ Existence of eigenvalues for nonnegative solutions to a discrete equation with applications to boundary value problems ⋮ Twin positive solutions of a nonlinear \(m\)-point boundary value problem for third-order \(p\)-Laplacian dynamic equations on time scales ⋮ Existence and uniqueness of solutions for fractional boundary value problem with fractional boundary value conditions ⋮ Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function ⋮ Three positive solutions of nonhomogeneous multi-point BVPs for second order \(p\)-Laplacian functional difference equations ⋮ Existence of a positive solution for a right focal discrete boundary value problem ⋮ Existence and uniqueness of solutions to discrete,third-order three-point boundary value problems

Cites Work

• Eventually positive and monotonely decreasing solutions of partial difference equations
• Double positive solutions of \((n,p)\) boundary value problems for higher order difference equations
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• Existence theorems for a system of difference equations with \((n,p)\)-type conditions
• Asymptotic stability for a linear difference equation with variable delay
• A generalization of concavity for finite differences
• Positive solutions and nonlinear eigenvalue problems for third-order difference equations
• Multiple solutions for higher-order difference equations
• Global stability of a linear nonautonomous delay difference equation¹
• Two positive solutions of a boundary value problem for difference equations
• Global attractivity for a nonlinear difference equation with variable delay
• Positive solutions for a system of nonpositive difference equations
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