Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations

DOI10.1155/2010/312864zbMath1204.39012OpenAlexW2132712498WikidataQ58650773 ScholiaQ58650773MaRDI QIDQ607901

Cheng-jun Yuan

Publication date: 6 December 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223804

zbMATH Keywords

conepositive solutionsboundary value problemsfixed point theoremsfourth-order nonlinear singular difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (3)

Positive solutions of a singular semipositone boundary value problems for fourth-order coupled difference equations ⋮ Solutions of the boundary value problem for a \(2n\)th-order nonlinear difference equation containing both advance and retardation ⋮ An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem
• Iterative solutions for a beam equation with nonlinear boundary conditions of third order
• Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem
• On discrete fourth-order boundary value problems with three parameters
• Triple positive solutions of fourth-order four-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
• Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• A three point boundary value problem for nonlinear fourth order differential equations.
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• On Green's functions and positive solutions for boundary value problems on time scales
• On positive solutions of some nonlinear fourth-order beam equations
• On the existence of positive solutions of fourth-order difference equations
• 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
• Positive solutions for a class of boundary value problems on time scales
• Singular second-order multipoint dynamic boundary value problems with mixed derivatives
• Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete boundary value problems
• Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations
• Finite difference methods for two-point boundary value problems involving high order differential equations
• Global stability of a linear nonautonomous delay difference equation¹
• Upper and lower solution method for fourth-order four-point boundary value problems
• Global attractivity for a nonlinear difference equation with variable delay
• Positive solutions for a system of nonpositive difference equations

This page was built for publication: Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations