[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.1.11

h-STABILITY OF THE NONLINEAR PERTURBED DIFFERENCE SYSTEMS

Goo, Yoon Hoe (Department of Mathematics Hanseo University)
Park, Hye Jin (Department of Mathematics Hanseo University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.1, 2011 , pp. 105-112 More about this Journal

Abstract

In this paper, we investigate h-stability of the nonlinear perturbed difference system by using comparison principle.

Keywords

nonlinear difference system; h-stability; $n_{\infty}$ -similar;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	R. P. Agarwal, Difference equations and inequalities, Marcel Decker Inc., New York, 1992.
2	S. K. Choi and N. J. Koo, Stability in variation for nonlinear Volterra difference systems, Bull. Korean Math. Soc. 38 (2001), 101-111.
3	S. K. Choi and N. J. Koo, Variationally stable difference systems by ${n_{\infty}}$ - similarity, J. Math. Anal. Appl. 249 (2000), 553-568. DOI ScienceOn
4	S. K. Choi, N. J. Koo, and Y. H. Goo, Variationally stable difference systems, J. Math.Anal. Appl. 256 (2001), 587-605. DOI ScienceOn
5	S. K. Choi, N. J. Koo, and Y. H. Goo, h-stability of perturbed Volterra difference systems, Bull. Korean Math. Soc. 39 (2002), 53-62. DOI ScienceOn
6	S. K. Choi , Y. H. Goo and N. J. Koo, Asymptotic behavior of nonlinear Volterra difference systems, Bull. Korean Math. Soc. 44 (2007), 177-184. DOI ScienceOn
7	S. Elaydi, Periodicity and stability of linear Volterra difference systems, J. Math. Anal. Appl. 181 (1994), 483-492. DOI ScienceOn
8	S. Elaydi and S. Murakami, Uniform asymptotic stability in linear Volterra difference equation, J. Diff. Eqns. Appl. 31 (1998), 203-218.
9	V. Lakshmikantham and D. Trigiante, Theory of Difference Equations:with Applications to Numerical Methods and Applications, Second Edition, Marcel Dekker, Inc.,2002.
10	R. Medina, Stability results for nonlinear difference equations, Nonlinear Studies 6 (1999), 73-83.
11	R. Medina and M. Pinto, Stability of nonlinear difference equations, Proc. Dynamic Systems and Appl. 2 (1996), 397-404.
12	R. Medina and M. Pinto, Variationlly stable difference equations, Nonlinear Analysis TMA 30 (1997), 1141-1152. DOI ScienceOn
13	Y. N. Raffoul, Boundedness and Periodicity of Volterra system of difference equations, J. Diff. Eqns. Appl. 4 (1998), 381-393. DOI ScienceOn
14	M. Zouyousefain and S. Leela, Stability results for difference equations of Volterra type, Appl. Math. Compu. 36 (1990), 51-61. DOI ScienceOn