Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617865 | Journal of Mathematical Analysis and Applications | 2012 | 14 Pages |
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
Mieczysław Cichoń, Mohamed M.A. Metwali,