Existence of solution for first-order coupled system with nonlinear coupled boundary conditions


Asif N. A. , Talib I., TUNÇ C.

BOUNDARY VALUE PROBLEMS, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

In this article, the existence of solution for the first-order nonlinear coupled system of ordinary differential equations with nonlinear coupled boundary condition (CBC for short) is studied using a coupled lower and upper solution approach. Our method for a nonlinear coupled system with nonlinear CBC is new and it unifies the treatment of many different first-order problems. Examples are included to ensure the validity of the results.