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Existence for Impulsive Semilinear Functional Differential Inclusions

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Abstract

In this paper we investigate the existence of solutions for first-order impulsive semilinear functional differential inclusions in Banach spaces. Sufficient condition for the existence is obtained with the well-known Covitz and Nadler’s fixed point theorem for multivalued contractions.

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Acknowledgements

The authors are very grateful to the editor and referees for their useful suggestions which have improved the paper.

Funding

The second author is supported by Scientific Research Foundation of Hunan Provincial Education Department (19A179).

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Authors and Affiliations

  1. School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, China

    Yan Luo & Weibing Wang

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  1. Yan Luo
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  2. Weibing Wang
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Correspondence to Yan Luo.

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Luo, Y., Wang, W. Existence for Impulsive Semilinear Functional Differential Inclusions. Qual. Theory Dyn. Syst. 20, 22 (2021). https://doi.org/10.1007/s12346-021-00457-x

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  • DOI: https://doi.org/10.1007/s12346-021-00457-x

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