References
- V. M. Alekseev, An estimate for the perturbations of the solutions of ordinary differential equations, Vestn. Mosk. Univ. Ser. I. Math. Mech. 2 (1961), 28-36.
- S. K. Choi and N. J. Koo, h-stability for nonlinear perturbed systems, Ann. of Diff. Eqs. 11 (1995), 1-9.
- S. K. Choi and H. S. Ryu, h-stability in differential systems, Bull. Inst. Math. Acad. Sinica 21 (1993), 245-262.
-
S. K. Choi, N. J. Koo, and H. S. Ryu, h-stability of differential systems via
$t_{\infty}$ -similarity, Bull. Korean. Math. Soc. 34 (1997), 371-383. - S. K. Choi, N. J. Koo, and S. M. Song, Lipschitz stability for nonlinear functional differential systems, Far East J. Math. Sci(FJMS)I 5 (1999), 689-708.
-
R. Conti, Sulla
$t_{\infty}$ -similitudine tra matricie l'equivalenza asintotica dei sistemi differenziali lineari, Rivista di Mat. Univ. Parma 8 (1957), 43-47. - Y. H. Goo, Boundedness in the perturbed differential systems, J. Korean Soc. Math.Educ. Ser. B: Pure Appl. Math. 20 (2013), 223-232. https://doi.org/10.7468/jksmeb.2013.20.3.223
- Y. H. Goo, D. G. Park, and D. H. Ryu, Boundedness in perturbed differential systems, J. Appl. Math. and Informatics 30 (2012), 279-287.
- Y. H. Goo, Boundedness in perturbed nonlinear differential systems, J. Chungcheong Math. Soc. 26 (2013), 605-613. https://doi.org/10.14403/jcms.2013.26.3.605
- Y. H. Goo, Boundedness in the perturbed nonlinear differential systems, Far East J. Math. Sci(FJMS) 79 (2013), 205-217.
-
G. A. Hewer, Stability properties of the equation by
$t_{\infty}$ -similarity, J. Math. Anal. Appl. 41 (1973), 336-344. https://doi.org/10.1016/0022-247X(73)90209-6 - V. Lakshmikantham and S. Leela, Differential and Integral Inequalities: Theory and Applications Vol. I, Academic Press, New York and London, 1969.
- M. Pinto, Perturbations of asymptotically stable differential systems, Analysis 4 (1984), 161-175.
- M. Pinto, Stability of nonlinear differential systems, Applicable Analysis 43 (1992), 1-20. https://doi.org/10.1080/00036819208840049
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