Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON ASYMPTOTIC PROPERTY IN VARIATION FOR NONLINEAR DIFFERENTIAL SYSTEMS

  • Choi, Sung Kyu (Department of Mathematics Chungnam National University) ;
  • Im, Dong Man (Department of Mathematics Education Cheongju University) ;
  • Koo, Namjip (Department of Mathematics Chungnam National University)
  • Received : 2009.06.27
  • Accepted : 2009.08.14
  • Published : 2009.09.30
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Abstract

We show that two notions of asymptotic equilibrium and asymptotic equilibrium in variation for nonlinear differential systems are equivalent via $t_{\infty}$-similarity of associated variational systems. Moreover, we study the asymptotic equivalence between nonlinear system and its variational system.

Keywords

References

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