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

• Talib, Imran ^[1] ; Asif, Naseer Ahmad ^[1] ; Tunc, Cemil
  1. [1] University of Management and Technology

     University of Management and Technology

     Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 1, 2016, págs. 99-117
• Idioma: inglés
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• Resumen

  • 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.