Coupled lower and upper solution approach for the existence of Solutions of nonlinear coupled system with nonlinear coupled boundary conditions

DOI10.4067/S0716-09172016000100007zbMath1343.34061MaRDI QIDQ2812625

Imran Talib, Naseer Ahmad Asif, Cemil Tunç

Publication date: 17 June 2016

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

zbMATH Keywords

lower and upper solutionsSchauder's fixed point theoremArzela-Ascoli theoremnonlinear coupled systemcoupled nonlinear boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

New results and applications on the existence results for nonlinear coupled systems ⋮ Analysis of neutral fractional differential equation via the method of upper and lower solution ⋮ Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model ⋮ Impulsive coupled systems with generalized jump conditions

Cites Work

• Existence of solution for first-order coupled system with nonlinear coupled boundary conditions
• On existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular differential system
• Positive solutions to singular system with four-point coupled boundary conditions
• The existence of solutions to nonlinear second-order periodic boundary value problems
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Parabolic systems with coupled boundary conditions
• Parabolic evolution equations and nonlinear boundary conditions
• Non-negative solutions of systems of ODEs with coupled boundary conditions
• Positive solutions of three-point boundary value problems for systems of nonlinear second order ordinary differential equations
• Subfunction and second-order ordinary differential inequalities
• Multiple positive solutions of boundary value problems for systems of nonlinear second-order differential equations
• Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
• A Comparison Method for Stability Analysis of Nonlinear Parabolic Problems
• Nonlinear interaction problems
• Positive Solutions of Singular Sublinear Dirichlet Boundary Value Problems
• POSITIVE SOLUTIONS FOR A SYSTEM OF SINGULAR SECOND ORDER NONLOCAL BOUNDARY VALUE PROBLEMS
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• A nonlinear boundary value problem
• Unnamed Item
• Unnamed Item

This page was built for publication: Coupled lower and upper solution approach for the existence of Solutions of nonlinear coupled system with nonlinear coupled boundary conditions