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Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions

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Abstract

In this paper, we investigate the existence of solutions for impulsive first order ordinary differential inclusions which admitting nonconvex valued right hand side. We present two classes of results. In the first one, we rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, we use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values under weaker conditions.

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Authors and Affiliations

  1. Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, China

    Yi-cheng Liu & Zhi-xiang Li

  2. College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha, 410076, China

    Jun Wu

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  1. Yi-cheng Liu
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  2. Jun Wu
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  3. Zhi-xiang Li
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Correspondence to Yi-cheng Liu.

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Liu, Yc., Wu, J. & Li, Zx. Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions. Acta Mathematicae Applicatae Sinica, English Series 23, 411–420 (2007). https://doi.org/10.1007/s10255-007-0381-4

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  • DOI: https://doi.org/10.1007/s10255-007-0381-4

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