• Title/Summary/Keyword: condensing multi-valued map

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Second Order Impulsive Neutral Functional Differential Inclusions

  • Liu, Yicheng;Li, Zhixiang
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.1-14
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    • 2008
  • In this paper, we investigate the existence of solutions of second order impulsive neutral functional differential inclusions which the nonlinearity F admits convex and non-convex values. Some results under weaker conditions are presented. Our results extend previous ones. The methods rely on a fixed point theorem for condensing multivalued maps and Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values.