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Acta Mathematica Vietnamica

EXISTENCE RESULTS FOR INITIAL VALUE PROBLEMS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES

icon-email A. SGHIR

Abstract

Existence results for initial value problems for neutral functional differential inclusions are given. The results are proved by direct applications of topological transversality methods based on the degree theory for $\chi$-Lipschitz multimappings.