ON A LINEAR FUNCTIONAL EQUATION SYSTEM

Abstract

We consider the system of linear functional equations (1) f_i (x)= ∑_(k=1)^m▒[aik f_1 (Aik (x))+ bik f_2 (Bik (x))]+gi(x),x  I  R, i =1,2 where I is a bounded or unbounded interval, g_i : I → R, Aik, Bik : I  I, 1  k  m, i = 1,2 are given continuous functions. We prove the existence and uniqueness of solution of the sytem (1). Numerical results are given.