An existence result of asymptotically stable solutions for an integral equation of mixed type

Abstract

In the present Note an existence result of asymptotically stable solutions for the integral equation $$x\left( t\right) =q\left( t\right) +\int_{0}^{t}K\left( t,s,x\left( s\right) \right) ds +\int_{0}^{\infty }G\left( t,s,x\left( s\right) \right) ds$$ is presented.