Positive solutions for systems of a nonlinear fourth-order singular semipositone boundary value problems

DOI10.1016/j.amc.2010.01.038zbMath1193.34052OpenAlexW1979804830MaRDI QIDQ963926

Fengling Zhu, Li Shan Liu, Yong-Hong Wu

Publication date: 14 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.038

zbMATH Keywords

conepositive solutionfixed point indexfourth-order boundary value problemnonlinear singular semipositone systems

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (16)

Multiple positive solutions of a fourth-order boundary value problem ⋮ Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters ⋮ Solvability for some fourth order two-point boundary value problems ⋮ Positive solution of a system of integral equations with applications to boundary value problems of differential equations ⋮ Multiple positive solutions for a fourth-order integral boundary value problem on time scales ⋮ Reproducing kernel algorithm for the analytical-numerical solutions of nonlinear systems of singular periodic boundary value problems ⋮ On the nonlinear system of fourth-order beam equations with integral boundary conditions ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Systems of coupled clamped beams equations with full nonlinear terms: existence and location results ⋮ Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model ⋮ Positive solutions for systems of a nonlinear fourth-order singular semipositone Sturm-Liouville boundary value problem ⋮ Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ ON COUPLED SYSTEMS OF LIDSTONE-TYPE BOUNDARY VALUE PROBLEMS ⋮ Applications of Schauder's fixed point theorem to semipositone singular differential equations

Cites Work

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• On existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system
• Positive solutions of second order systems of boundary value problems
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Multiple nonnegative solutions of second-order systems of boundary value problems
• Local superlinearity for elliptic systems involving parameters
• Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems
• Eigenvalues of fourth-order singular Sturm-Liouville boundary value problems
• Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
• A coupled system of boundary value problems

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