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

Author
Talib, Imran

Asif, Naseer Ahmad

Tunc, Cemil

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https://www.revistaproyecciones.cl/article/view/1237
10.4067/S0716-09172016000100007
Abstract
The present article investigates the existence of Solutions of the following nonlinear second order coupled system with nonlinear coupled boundary conditions (CBCs) where f1,f2    :    [0,1] x R → R,     μ:  R6  →  R2    and υ : R2  →R2    arecontinuous functions. The results presented in [7, 11] are extended in our article. Coupled lower and upper solutions, Arzela-Ascoli theorem and Schauder’s fixed point theorem play an important role in estab-lishing the arguments. Some examples are taken to ensure the validity of the theoretical results.
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