Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지

DOMAIN OF EXISTENCE OF A PERTURBED CAUCHY PROBLEM OF ODE

  • Kim, June Gi (Department of Mathematics Kangwon National University)
  • Received : 2002.01.30
  • Published : 2002.02.28
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Abstract

In this paper we consider the Cauchy problem $$dx(t)/dt=x(t)^n,\;x(0)=x_0$$. The domain of existence is lower semicontinuous for perturbations of the data. We present a simple formula for the time of existence which is exact when there exists no perturbations.

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