Existence of solution for first-order coupled system with nonlinear coupled boundary conditions
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Boundary Value Problems
Abstract
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.
Description
Keywords
Mathematics, lower and upper solutions; coupled nonlinear system; coupled nonlinear boundary condition; Arzela-Ascoli theorem; Schauder theorem
Citation
Asif, N. A., Talib, I.,& Tunc, C. (2015). Existence of solution for first-order coupled system with nonlinear coupled boundary conditions. Boundary Value Problems, 2015(1), 1-9. (Naseer Ahmad Asif and Imran Talib) (IF 1.014 JCR Listed)