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http://dx.doi.org/10.14403/jcms.2010.23.4.827

h-STABILITY OF THE NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS  

Goo, Yoon Hoe (Department of Mathematics Hanseo University)
Ry, Dae Hee (Department of Computer Science Chungwoon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 827-834 More about this Journal
Abstract
In this paper, we investigate h-stability of the nonlinear perturbed differential systems.
Keywords
h-stable; $t_{\infty}$-similarity; nonlinear nonautonomous system;
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  • Reference
1 F. Brauer, Perturbations of nonlinear systems of differential equations II, J. Math. Anal. Appl. 17 (1967), 579-591.
2 S. K. Choi and N. J. Koo, h-stability for nonlinear perturbed systems, Ann. of Diff. Eqs. 11 (1995), 1-9.
3 S. K. Choi and H. S. Ryu, h-stability in differential systems, Bull. Inst. Math. Acad. Sinica 21 (1993), 245-262.
4 S. K. Choi and N. J. Koo and H.S. Ryu, h-stability of differential systems via $t_{\infty}$-similarity, Bull. Korean Math. Soc. 34 (1997), 371-383.
5 R. Conti, Sulla $t_{\infty}$-similitudine tra matricie l'equivalenza asintotica dei sistemi differenziali lineari, Rivista di Mat. Univ. Parma 8 (1957), 43-47.
6 S. Elaydi and R. R. M. Rao, Lipschitz stability for nonlinear Volterra integro- differential systems, Appl. Math. Computations 27 (1988), 191-199.   DOI   ScienceOn
7 Y. H. Goo , h-stability of the nonlinear differential systems via $t_{\infty}$-similarity, J. Chungcheong Math. Soc. 23 (2010), 383-389.
8 Y. H. Goo and D. H. Ry, h-stability for perturbed integro-differential systems, J. Chungcheong Math. Soc. 21 (2008), 511-517.
9 Y. H. Goo, M. H. Ji and D. H. Ry, h-stability in certain integro-differential equations, J. Chungcheong Math. Soc. 22 (2009), 81-88.
10 G. A. Hewer, Stability properties of the equation by -similarity, J. Math. Anal. Appl. 41 (1973), 336-344.   DOI
11 V. Lakshmikantham and S. Leela, Differential and Integral Inequalities: Theory and Applications Vol., Academic Press, New York and London, 1969.
12 M. Pinto, Perturbations of asymptotically stable differential systems, Analysis 4 (1984), 161-175.
13 M. Pinto, Stability of nonlinear differential systems, Applicable Analysis 43 (1992), 1-20.   DOI   ScienceOn
14 M. R. M. Rao and P. Srinivas, Asymptotic behavior of solutions of Volterra integro-differential equations, Proc. Amer. Math. Soc. 94 (1985), 55-60.   DOI