KOU Chun-hai, ZHANG Shu-nian. Stability Criteria in Terms of Two Measures for Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(3): 283-291.
Citation: KOU Chun-hai, ZHANG Shu-nian. Stability Criteria in Terms of Two Measures for Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(3): 283-291.

Stability Criteria in Terms of Two Measures for Delay Differential Equations

  • Received Date: 2000-09-25
  • Rev Recd Date: 2001-11-20
  • Publish Date: 2002-03-15
  • By using the variational Liapunov method,stability properties in terms of two measures for delay differential equations are discussed.In the case that the unperturbed systems are ordinary differential systems,employing auxiliary measure h*(t,x),criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.
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  • [1]
    Hale J. Theory of Differential Equations[M]. New York:Springer-Verlag,1977.
    [2]
    LIU Xin-zhi. Advances in stability theory of nonlinear systems[A]. In:Proceedings of International Conference on Dynamical Systems and Differential Equations[C]. Vol E-3 Shanghai:Shanghai Jiaotong University Press,1998.
    [3]
    Lakshmikantham V. Advances in UAS for functional differential equations[J]. Merm Diff Equas Math Phy,1997,12(1):131-134.
    [4]
    Lakshmikantham V, Leela S, Sivasundaram S. Liapunov functions on product spaces and stability theory of delay differetnial equations[J]. J Math Anal Appl,1991,154(2):391-402.
    [5]
    Lakshmikantham V. LIU Xin-zhi. Stability Analysis in Terms of Two Measures[M]. Singapore:World Scientific,1993.
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