충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권2호
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  • Pages.347-359
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  • 2016
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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BOUNDEDNESS IN FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY

  • 투고 : 2016.01.22
  • 심사 : 2016.05.09
  • 발행 : 2016.05.15
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초록

In this paper, we show that the solutions to perturbed functional differential system $$y^{\prime}=f(t,y)+{\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$$, have a bounded properties. To show the bounded properties, we impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$ and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of $t_{\infty}$-similarity.

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참고문헌

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피인용 문헌

  1. BOUNDEDNESS FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY vol.29, pp.4, 2016, https://doi.org/10.14403/jcms.2016.29.4.585
  2. BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY vol.30, pp.3, 2016, https://doi.org/10.14403/jcms.2017.30.3.291