Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 1988.03.26
  • Published : 1988.06.30
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Abstract

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 $$z^{{\prime}{\prime}}+Az^{\prime}+G(z)=e(t)=e(t+2{\pi})$$.

Keywords

Acknowledgement

Supported by : Dae Woo Foundation