Solvability of the product of n-integral equations in Orlicz spaces

Abstract We study the existence of a.e. monotonic $$L_\varphi $$ L φ -solutions for product n -quadratic integral equations. As indicated by different continuity properties considered operators in Orlicz spaces, we three cases which generating N -functions satisfy conditions $$\Delta '$$ Δ ′ , _2,$$ 2 , and _3$$ 3 . The method adopted this paper consists an appropriate application some measure noncompactness Darbo fixed point theorem solving acting on -Orlicz spaces.