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On Existence and Uniqueness of Random Impulsive Differential Equations

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Abstract

This paper studies existence and uniqueness for random impulsive differential equations. The authors first generalize a random fixed point theorem of Schaefer’s type. Then the authors shall rely on the generalized Schaefer’s type random fixed point theorem to discuss the existence of the system. In addition, the authors study the existence and uniqueness of random impulsive differential equations by applying random Banach fixed point theorem and obtain some less conservative results. Finally, an example is given to illustrate the effectiveness of the results.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, Shanghai, 200092, China

    Shuorui Zhang & Jitao Sun

Authors
  1. Shuorui Zhang
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  2. Jitao Sun
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Corresponding author

Correspondence to Jitao Sun.

Additional information

This research was supported by the NSF of China under Grant No. 61174039.

This paper was recommended for publication by Editor LÜ Jinhu.

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Zhang, S., Sun, J. On Existence and Uniqueness of Random Impulsive Differential Equations. J Syst Sci Complex 29, 300–314 (2016). https://doi.org/10.1007/s11424-015-4018-z

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  • DOI: https://doi.org/10.1007/s11424-015-4018-z

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