Monotonic solutions of Urysohn integral equation on unbounded interval
In this paper, we investigate a nonlinear Urysohn integral equation on unbounded interval. We show that under some assumptions that the equation has monotonic solutions belonging to the space of functions being Lebesgue integrable on unbounded interval. The main tool used in our study is the technique associated with measures of weak noncompactness and measures of noncompactness in strong sense. (C) 2004 Elsevier Ltd. All rights reserved.
urysohn integral equation measure of noncompactness compactness in measure weak sequential continuity