Nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces

Abstract

The current article discusses the existence of monotonic discontinuous solutions for general nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces E? when the function ? satisfies the ?2-condition. The case of Lebesgue spaces Lp (p > 1) are also examined. We use the arguments of measure of noncompactness with Darbo fixed point theorem to prove our results.