Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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h-Stability of differential systems via $t_{\infty}$-similarity

  • Park, Sung-Kyu (Department of Mathematics, Chungnam National University, Taejon 305-764) ;
  • Koo, Nam-Jip (Department of Mathematics, Chungnam National University, Taejon 305-764)
  • Published : 1997.08.01
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Abstract

In recent years M. Pinto introduced the notion of h-stability. He extended the study of exponential stability to a variety of reasonable systems called h-systems. We investigate h-stability for the nonlinear differential systems using the notions of $t_\infty$-similarity and Liapunov functions.

Keywords

References

  1. J. Math. Anal. Appl. v.86 Perturbation theorems for nonlinear systems of ordinary differential equations Z. S. Athanassov
  2. Bull. Inst. Acad. Sinnica v.21 h-stability in differential systems S. K. Choi;H. S. Ryu
  3. Ann. Differential Equations v.11 h-Stability for nonlinear perturbed systems S. K. Choi;N. J. Koo
  4. to appear in Dynamic Systems and Applications Lipschitz stability and exponential asymptotic stability for the nonlinear functional differential systems S. K. Choi;Y. H. Goo;N. J. Koo
  5. J. Math. Anal. Appl. v.41 Stability properties of the equation of first variation by t1similarity G. A. Hewer
  6. Ordinary Differential Equations v.Ⅰ Differential and Integral Inequalities, Theory and Applications V. Lakshmikantham;S. Leela
  7. Russian Acad. Sci. Dokl. Math. v.48 On exponential stability with respect to some of the variables A. A. Martynuk
  8. Proc. Dynamic Systems and Appl. v.2 Stability of nonlinear difference equations R.Medina;M. Pinto
  9. Applicable Analysis v.43 Stability of nonlinear differential systems M. Pinto
  10. J. Math. Anal. Appl. v.131 Asymptotic integration of a system resulting from the perturbation of an hsystem M. Pinto