Journal of Hebei University(Natural Science Edition) ›› 2021, Vol. 41 ›› Issue (5): 449-456.DOI: 10.3969/j.issn.1000-1565.2021.05.001

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Stability criteria for set differential equations with non-instantaneous impulse

WANG Peiguang, GUO Mengyu, BAO Junyan   

  1. College of Mathematics and Information Science, Hebei University, Baoding 071002, China
  • Received:2021-05-13 Online:2021-09-25 Published:2021-09-28

Abstract: Based on the theory of set differential equations and Lyapunov function method, by constructing the new comparison principles,this paper discusses the stability of solutions of the non-instantaneous impulsive set differential equations defined by Hukuhara derivative,and obtains the criteria of stability, uniform stability and uniform asymptotic stability of solutions.

Key words: set differential equations, non-instantaneous impulse, stability

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