Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ASYMPTOTIC EQUIVALENCE IN VARIATION BETWEEN NONLINEAR DIFFERENTIAL SYSTEMS

  • Song, Se-Mok (Department of Mathematics Education, Chongju University)
  • Published : 2003.05.01

⟨ Previous Next ⟩

Abstract

We study the asymptotic equivalence between the nonlinear differential system $\chi$'(t) = f(t, $\chi$(t)) and its variational system ν'(t) = f$\chi$(t, 0)ν(t) by using the comparison principle and notion of strong stability.

Keywords

References

  1. J. Math. Anal. Appl v.249 Variationally stable difference systems by $n_∞$-similarity S. K. Choi;N. J. Koo
  2. Submitted Aysmptotic property in variation for nonlinear differential systems via $n_∞$-similarity S. K. Choi;N. J. Koo;S. M. Song
  3. J. Appl. Math. & Computing v.7 Oscillation and asymptotic behavior for delay differential equations S. K. Choi;N. J. Koo;H. S. Ryu
  4. D.C. Heath and Company Stability and Asymptotic Behavior of Differential Equations W. A. Coppel
  5. Stability Analysis of Nonlinear Systems V. Lakshmikantham;S. Leela;A. Martynuk
  6. J. Math. Anal. Appl. v.131 Asumptotic integration of a system resulting from the perturbation of an h-system M. Pinto
  7. J. Appl. Math. & Cumputing v.11 Asymptotic equivalence between linear differential systems S. M. Song