Existence and asymptotic stability of continuous solutions for a general form of integral equations of product type

Abstract

In this work, we study the existence and the asymptotic stability of the continuous solutions for a general form for neutral integral equations of product type. Our result will given in more general and easy conditions; Moreover, the neutral integral equation of product type given in this work contains many particular forms which are studied recently. The analysis uses the techniques of measures of non-compactness and Darbo’s fixed point theorem.

Keywords

• d point theorem. Keywords: Neutral integral equations of product type, Darbo’s fixed point theorem, Continuous solution, Asymptotic stable solution.