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.
Key words and phrases
Multi-valued map mild solution cosine function nonlocal condition fixed point
2000 Mathematics Subject Classification
34A60 34G20 47D09
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