Existence of solution for first-order coupled system with nonlinear coupled boundary conditions

In this article, the existence of solution for the first-order nonlinear coupled system of ordinary differential equations with nonlinear coupled boundary condition (CBC for short) is studied using a coupled lower and upper solution approach. Our method for a nonlinear coupled system with nonlinear...

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Bibliographic Details
Published in:Boundary value problems 2015-08, Vol.2015 (1), p.1-9, Article 134
Main Authors: Asif, Naseer Ahmad, Talib, Imran, Tunc, Cemil
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Joining
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
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Summary:In this article, the existence of solution for the first-order nonlinear coupled system of ordinary differential equations with nonlinear coupled boundary condition (CBC for short) is studied using a coupled lower and upper solution approach. Our method for a nonlinear coupled system with nonlinear CBC is new and it unifies the treatment of many different first-order problems. Examples are included to ensure the validity of the results.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-015-0397-2