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

arecontinuous functions. The results presented in [7, 11] are extended inour article. Coupled lower and upper solutions, Arzela-Ascoli theoremand Schauder’s fixed point theorem play an important role in estab-lishing the arguments. Some examples are taken to ensure the validityof the theoretical results.Keywords : Lower and upper solutions, Nonlinear coupled sys-tem, Coupled nonlinear boundary conditions, Arzela-Ascoli theorem,Schauder’s fixed point theorem.