ON ASYMPTOTIC STABLE SOLUTIONS OF NONLINEAR QUADRATIC INTEGRAL EQUATION OF VOLTERRA-STIELTJES TYPE

Abstract

In this paper we discuss the existence and asymptotic stability of solutions of a nonlinear quadratic integral equation of Volterra Stieltjes type. We look for solutions of that equation in the space of functions dened continuous and bounded on real halfaxis. Since the kernel of the Stieltjes integral involved in the considered equation depends upon two variables it admits a lot of interesting cases created both by integral and functional equations.