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The stability of nonautonomous retarded difference-differential equations

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Abstract

In this paper, we study the uniformly asymptotic stability of nonautonomous retarded difference-differential equations by constructing Lyapunov functionals. We conclude that the retarded difference-differential equation is uniformly asymptotically stable under the strong diagonal dominance.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, 100080, Beijing, China

    Wang Lian

  2. Institute of Applied Mathematics, Academia Sinica, 100080, Beijing, China

    Zhao Huaizhong

Authors
  1. Wang Lian
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  2. Zhao Huaizhong
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This work is supported by the National Natural Science Foundation of China

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Lian, W., Huaizhong, Z. The stability of nonautonomous retarded difference-differential equations. Acta Mathematica Sinica 8, 349–356 (1992). https://doi.org/10.1007/BF02583261

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  • DOI: https://doi.org/10.1007/BF02583261

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