충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권1호
  • /
  • Pages.1-11
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  • 2016
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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ASYMPTOTIC PROPERTY FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

  • Im, Dong Man (Department of Mathematics Education, Cheongju University) ;
  • Goo, Yoon Hoe (Department of Mathematics, Hanseo University)
  • 투고 : 2015.08.10
  • 심사 : 2016.01.15
  • 발행 : 2016.02.15
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초록

This paper shows that the solutions to nonlinear perturbed functional differential system $$y^{\prime}=f(t,y)+{\int}^t_{t_0}g(s,y(s),Ty(s))ds+h(t,y(t))$$ have the asymptotic property by imposing conditions on the perturbed part ${\int}^t_{t_0}g(s,y(s),Ty(s))ds,h(t,y(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

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참고문헌

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