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Remarks on the Existence Results for Second-Order Differential Inclusions with Nonlocal Conditions

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Abstract

In this paper, we investigate the existence of mild solutions of second-order initial-values problems for a class of semilinear differential inclusions with nonlocal conditions. By using suitable fixed-point theorems for multi-valued maps, we study the case where the multi-valued map F has convex or nonconvex values.

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Correspondence to Mohamed Bahaj.

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Bahaj, M. Remarks on the Existence Results for Second-Order Differential Inclusions with Nonlocal Conditions. J Dyn Control Syst 15, 27–43 (2009). https://doi.org/10.1007/s10883-008-9059-3

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