Browse > Article
http://dx.doi.org/10.7468/jksmeb.2015.22.2.145

h-STABILITY AND BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS  

GOO, YOON HOE (DEPARTMENT OF MATHEMATICS, HANSEO UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.22, no.2, 2015 , pp. 145-158 More about this Journal
Abstract
In this paper, we investigate h-stability and boundedness for solutions of the functional perturbed differential systems using the notion of t∞-similarity.
Keywords
h-stability; t∞ -similarity; nonlinear nonautonomous system;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 G.A. Hewer: Stability properties of the equation by t∞-similarity. J. Math. Anal. Appl. 41 (1973), 336-344.   DOI
2 V. Lakshmikantham & S. Leela: Differential and Integral Inequalities: Theory and Applications Vol.. Academic Press, New York and London, 1969.
3 B.G. Pachpatte: On some retarded inequalities and applications. J. Ineq. Pure Appl. Math. 3 (2002) 1-7.
4 M. Pinto: Asymptotic integration of a system resulting from the perturbation of an h-system. J. Math. Anal. Appl. 131 (1988), 194-216.   DOI
5 M. Pinto: Stability of nonlinear differential systems. Applicable Analysis 43 (1992), 1-20.   DOI   ScienceOn
6 S.K. Choi, N.J. Koo & S.M. Song: Lipschitz stability for nonlinear functional differential systems. Far East J. Math. Sci(FJMS) I(5)(1999), 689-708.
7 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).
8 S.K. Choi & H.S. Ryu: h-stability in differential systems. Bull. Inst. Math. Acad. Sinica 21 (1993), 245-262.
9 S. K. Choi, N.J. Koo & H.S. Ryu: h-stability of differential systems via t∞-similarity. Bull. Korean. Math. Soc. 34 (1997), 371-383.
10 R. Conti: Sulla t∞-similitudine tra matricie l'equivalenza asintotica dei sistemi differenziali lineari. Rivista di Mat. Univ. Parma 8 (1957), 43-47.
11 Y.H. Goo: h-stability of perturbed differential systems via t∞-similarity. J. Appl. Math. and Informatics 30 (2012), 511-516.
12 Y.H. Goo: Boundedness in perturbed nonlinear differential systems. J. Chungcheong Math. Soc. 26 (2013), 605-613.   DOI   ScienceOn
13 Y.H. Goo: Boundedness in nonlinear functional perturbed differential systems. submitted.
14 Y.H. Goo: Boundedness in the perturbed nonlinear differential systems. Far East J. Math. Sci(FJMS) 79 (2013), 205-217.
15 Y.H. Goo: h-stability and boundedness in the perturbed functional differential systems. submitted.
16 Y.H. Goo, D.G. Park & D.H. Ryu: Boundedness in perturbed differential systems. J. Appl. Math. and Informatics 30 (2012), 279-287.