• Title/Summary/Keyword: $\phi$(t)-equistability

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ON $\phi$(t)-STABILITY FOR THE COMPARISON DIFFERENTIAL SYSTEM

  • Oh, Young-Sun;An, Jeong-Hyang
    • The Pure and Applied Mathematics
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    • v.4 no.2
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    • pp.161-166
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    • 1997
  • We obtained sufficient conditions for $\phi$(t)-stability and uniform $\phi$(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

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LIPSCHITZ STABILITY CRITERIA FOR A GENERALIZED DELAYED KOLMOGOROV MODEL

  • El-Sheikh, M.M.A.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.75-81
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    • 2002
  • Lipschitz stability and Lipschitz ø$_{o}$ - equistability of the functional differential equation x'= B(x)f(t, x, $x_{t}$), $x_{to}$ =$\theta$$_{o}$ are discussed. Sufficient conditions are given using the comparison with the corresponding scalar equation.ion.n.