Article ID Journal Published Year Pages File Type
4617865 Journal of Mathematical Analysis and Applications 2012 14 Pages PDF
Abstract

In this paper we study the quadratic integral equation of the formx(t)=g(t)+λx(t)∫abK(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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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