Imran Talib, Naseer Ahmad Asif, Cemil Tunc
Abstract:
In this article, study the existence of solutions for the second-order
nonlinear coupled system of ordinary differential equations
with nonlinear coupled boundary conditions
where
and
are continuous functions.
Our main tools are coupled lower and upper solutions, Arzela-Ascoli
theorem, and Schauder's fixed point theorem.
Submitted July 14, 2015. Published December 24, 2015.
Math Subject Classifications: 34B10, 34B15.
Key Words: Lower and upper solutions; coupled system;
coupled boundary conditions; Arzela-Ascoli theorem;
Schauder's fixed point theorem.
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Imran Talib Department of Mathematics, School of Science University of Management and Technology CII Johar Town, Lahore, Pakistan email: imrantaalib@gmail.com |
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Naseer Ahmad Asif Department of Mathematics, School of Science University of Management and Technology CII Johar Town, Lahore, Pakistan email: naseerasif@yahoo.com |
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Cemil Tunc Department of Mathematics Faculty of Sciences Yuzuncu Yil University, Van - Turkey email: cemtunc@yahoo.com |
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