DOI: https://doi.org/10.11568/kjm.2015.23.2.269
Boundedness in Perturbed functional differential systems via $t_{\infty}$-similarity
Abstract
Keywords
Subject classification
34C11, 34D10, 34D20.Sponsor(s)
Full Text:
PDFReferences
V. M. Alekseev, An estimate for the perturbations of the solutions of ordinary differential equations, Vestn. Mosk. Univ. Ser. I. Math. Mekh. 2 (1961), 28– 36(Russian). (Google Scholar)
S. K. Choi and N. J. Koo, h−stability for nonlinear perturbed systems, Ann. of Diff. Eqs. 11 (1995), 1–9. (Google Scholar)
S. K. Choi and H. S. Ryu, h−stability in differential systems, Bull. Inst. Math. Acad. Sinica 21 (1993), 245–262. (Google Scholar)
S. K. Choi, N. J. Koo and H.S. Ryu, h-stability of differential systems via t∞-similarity, Bull. Korean. Math. Soc. 34 (1997), 371–383. (Google Scholar)
R. Conti, Sulla t∞-similitudine tra matricie l’equivalenza asintotica dei sistemi differenziali lineari, Rivista di Mat. Univ. Parma 8 (1957), 43–47. (Google Scholar)
Y. H. Goo, Boundedness in perturbed nonlinear differential systems, J. Chungcheong Math. Soc. 26 (2013), 605-613. (Google Scholar)
Y. H. Goo, Boundedness in the perturbed differential systems, J. Korean Soc. Math. Edu. Ser.B: Pure Appl. Math. 20 (2013), 223-232. (Google Scholar)
Y. H. Goo, Boundedness in the perturbed nonlinear differential systems, Far East J. Math. Sci(FJMS) Vol.79 (2013), 205-217. (Google Scholar)
Y. H. Goo, D. G. Park and D. H Ryu, Boundedness in perturbed differential systems, J. Appl. Math. and Informatics 30 (2012), 279-287. (Google Scholar)
G. A. Hewer, Stability properties of the equation by t∞-similarity, J. Math. Anal. Appl. 41 (1973), 336–344. (Google Scholar)
V. Lakshmikantham and S. Leela, Differential and Integral Inequalities: Theory and Applications, Academic Press, New York and London, 1969. (Google Scholar)
B.G. Pachpatte, On some retarded inequalities and applications, J. Ineq. Pure Appl. Math. 3 (2002), 1–7. (Google Scholar)
M. Pinto, Perturbations of asymptotically stable differential systems, Analysis 4 (1984), 161–175. (Google Scholar)
M. Pinto, Stability of nonlinear differential systems, Applicable Analysis 43 (1992), 1–20. (Google Scholar)
Refbacks
- There are currently no refbacks.
ISSN: 1976-8605 (Print), 2288-1433 (Online)
Copyright(c) 2013 By The Kangwon-Kyungki Mathematical Society, Department of Mathematics, Kangwon National University Chuncheon 21341, Korea Fax: +82-33-259-5662 E-mail: kkms@kangwon.ac.kr