Naseer Ahmad AsifImran Talib2018-10-232018-10-232015Asif, N. A., Talib, I., & Tunc, C. (2015). Existence of Solutions to Second Order Nonlinear Coupled System with Nonlinear Coupled Boundary Conditions. Electronic Journal of Differential Equations, 2015(13), 1-11. (Naseer Ahmad Asif and Imran Talib) (IF 0.64 JCR Listed)1072-6691https://escholar.umt.edu.pk/handle/123456789/3390In this article, study the existence of solutions for the second-order nonlinear coupled system of ordinary differential equations u 00(t) = f(t, v(t)), t ∈ [0, 1], v 00(t) = g(t, u(t)), t ∈ [0, 1], with nonlinear coupled boundary conditions φ(u(0), v(0), u(1), v(1), u0 (0), v0 (0)) = (0, 0), ψ(u(0), v(0), u(1), v(1), u0 (1), v0 (1)) = (0, 0), where f, g : [0, 1] × R → R and φ, ψ : R6 → R2 are continuous functions. Our main tools are coupled lower and upper solutions, Arzela-Ascoli theorem, and Schauder’s fixed point theorem. The results presented in this article extend those in [1, 3, 15].enMathematicsArticle