충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제1권1호
  • /
  • Pages.19-26
  • /
  • 1988
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

Range of Operators and an Application to Existence of a Periodic Solution

  • Bae, Jong Sook (Department of Mathematics Chungnam National University) ;
  • Sung, Nak So (Department of Mathematics Chungnam National University)
  • 투고 : 1988.03.26
  • 발행 : 1988.06.30
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초록

In this paper, we calculate the precise estimation of range of a Gateaux differentiable operator, and apply to the existence of a periodic solution of the second order nonlinear differential equation $$z^{{\prime}{\prime}}+Az^{\prime}+G(z)=e(t)=e(t+2{\pi})$$.

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과제정보

연구 과제 주관 기관 : Dae Woo Foundation