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Two families of liapunov functions for functional differential systems

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Abstract

Two families of Liapunov functions are employed to study the global stability and boundedness of functional differential systems. New stability and boundedness theorems are obtained. Applications of these theorems to some nonlinear differential systems with infinite delay are discussed.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P. R. China

    Yi Zhang

  2. Department of Basic Studies, East China University of Technology, 516 Jungong Road, 200093, Shanghai, P. R. China

    Meijuan Wang

Authors
  1. Yi Zhang
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  2. Meijuan Wang
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Project supported by the National Science Foundation of China Under Grants 69871005

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Zhang, Y., Wang, M. Two families of liapunov functions for functional differential systems. Acta Mathematica Sinica 15, 197–206 (1999). https://doi.org/10.1007/BF02650663

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  • DOI: https://doi.org/10.1007/BF02650663

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