|BOUNDARY VALUE PROBLEMS WITH ADVANCED ARGUMENTS INVOLVING UPPER AND LOWER SOLUTIONS IN REVERSE ORDER
|Year of Publication
|JANKOWSKI TADEUSZ, JANKOWSKI ROBERT
|Dynamic Systems and Applications
|AMS Subject Classification
In this paper, we discuss boundary value problems for first order differential-integral equations with advanced arguments. We formulate sufficient conditions, under which such problems have a minimal and a maximal solution in a corresponding region bounded by upper-lower solutions. To get our results we apply a new approach based on Heikkila and V.Lakshmikantham theorem . An example illustrates the results obtained.