On quadratic integral equations of Volterra type in Frechet spaces

Abstract

In this work, we investigate the existence of solutions to a quadratic integral equation of Volterra type. By using the Schauder Tychonoff fixed point theorem in C(Ω, R), the Fréchet Space of real continuous functions on unbounded open subset Ω ⊂ R n , we establish the existence of at least one solution.