We consider one sided Lipschitz differential inclusions perturbed with multimap, satisfying compactness type conditions. The state space is Banach with uniformly convex dual. Averaging result on a finite interval is proved. The averaging of functional differential inclusions is also studied.
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T. Donchev, Mikhail Kamenskii, Marc Quincampoix, Averaging of Perturbed One Sided Lipschitz Differential Inclusions. Z. Anal. Anwend. 23 (2004), no. 4, pp. 765–774DOI 10.4171/ZAA/1221