5 research outputs found
On quadratic integral equations in Orlicz spaces
AbstractIn this paper we study the quadratic integral equation of the formx(t)=g(t)+位x(t)鈭玜bK(t,s)f(s,x(s))ds. Several existence theorems for a.e. monotonic solutions in Orlicz spaces are proved for strongly nonlinear functions f. The presented method of the proof can be easily extended to different classes of solutions
On the solvability of a nonlinear functional integral equations via measure of noncompactness in
Using the technique of a suitable measure of non-compactness and the Darbo fixed point theorem, we investigate the existence of a nonlinear functional integral equation of Urysohn type in the space of Lebesgue integrable functions Lp(RN). In this space, we show that our functional-integral equation has at least one solution. Finally, an example is also discussed to indicate the natural realizations of our abstract result