ABSTRACT
By means of the Hausdorff measure of noncompactness and the topological degree theory for condensing operators in locally convex spaces we show the existence of periodic solutions of a singularly perturbed system of differential inclusions in infinite dimensional Banach spaces. Moreover, the behaviour of such periodic solutions when the parameter ϵtends to zero is also investigated.
Keywords: Differential inclusions, condensing operators, periodic solutions, singularly perturbed systems
AMS 1991 Mathematics Subject Classification: Primary - 34A60, 34G20; Secondary - 34C25
