Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Second Order Impulsive Neutral Functional Differential Inclusions

  • Liu, Yicheng (Department of Mathematics and System Science, College of Science, National University of Defense Technology) ;
  • Li, Zhixiang (Department of Mathematics and System Science, College of Science, University of Defense Technology)
  • Received : 2006.06.05
  • Published : 2008.03.31
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Abstract

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.

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References

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