Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC BEHAVIOR OF PERTURBED DIFFERENTIAL SYSTEMS

  • Received : 2016.03.10
  • Accepted : 2016.07.15
  • Published : 2016.08.15
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Abstract

In this paper we show that the solutions to the perturbed differential system $$y^{\prime}=f(t,y)+{\int}_{to}^{t}g(s,y(s),Ty(s))ds$$ have uniformly Lipschitz stability and asymptotic behavior by imposing conditions on the perturbed part $\int_{to}^{t}g(s,y(s),Ty(s))ds$ and the fundamental matrix of the unperturbed system y' = f(t, y).

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References

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Cited by

  1. ASYMPTOTIC PROPERTY OF PERTURBED NONLINEAR SYSTEMS vol.30, pp.1, 2016, https://doi.org/10.14403/jcms.2017.30.1.103
  2. UNIFORMLY LIPSCHITZ STABILITY OF PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS vol.30, pp.2, 2016, https://doi.org/10.14403/jcms.2017.30.2.273