MONOTONE ITERATIVE TECHNIQUE FOR PERIODIC BOUNDARY VALUE PROBLEM OF SET DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS

摘要

In this paper we obtain an existance result for periodic boundary value problem(PBVP) for set differential equations involving causal operators. We utilize the iterates developed in establishing monotone iterative technique for initial value problem of set differential equations involving causal operators in this process . We show that these monotone iterates of lower and upper solitions of initial value problems (IVPs) converge uniformly to minimal and maximal solutions of the corresponding PBVP.