بررسی حل پذیری رده ای از سیستم های نامتناهی معادلات تابعی-انتگرالی در فضای $c_{0}$

  In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The applicability of the main result is demonstrated by means of an example as a model of neural nets.

Keywords:

Infinite system of functional-integral equations , Schauder fixed-point theorem , Sequence spaces