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


Mohamed M A Metwali




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