Browse > Article
http://dx.doi.org/10.14403/jcms.2011.24.3.16

STABILITY AND EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF DISCRETE VOLTERRA EQUATIONS WITH UNBOUNDED DELAY  

Choi, Sung Kyu (Department of Mathematics Chungnam National University)
Goo, Yoon Hoe (Department of Mathematics Hanseo University)
Im, Dong Man (Department of Mathematics Education Cheongju University)
Koo, Namjip (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.3, 2011 , pp. 561-568 More about this Journal
Abstract
We investigate the stability property and existence of almost periodic solutions of discrete Volterra equations with unbounded delay.
Keywords
discrete Volterra equation; globally quasi-uniform asymptotic stability; limiting equation; almost periodic solution;
Citations & Related Records
연도 인용수 순위
  • Reference
1 R. P. Agrwal, Difference Equations and Inequalities: Theory, Method and Applications, Marcel Dekker, New York, 2000.
2 S. K. Choi and N. Koo, Almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay, Adv. Difference. Equ., Vol. 2008, Article ID 692713, 15 pages.
3 S. K. Choi, Y. H. Goo, D. M. Im, and N. Koo, Total stability in nonlinear discrete Volterra equations with unbounded delay, Abstr. Appl. Anal., Vol. 2009, Article ID 976369, 13 pages.
4 S. K. Choi, N. Koo, Y. Yeo, and C. Yun, Periodic solutions of Volterra equa- tions, J. Chungcheong Math. Soc. 23 (2010), no. 2, 401-409.
5 S. K. Choi, Y. H. Goo, D. M. Im, and N. Koo, On the qualitative behaviour of discrete Volterra equations, J. Chungcheong Math. Soc. 23 (2010), no. 4, 635-644.
6 S. K. Choi and N. Koo, Almost automorphic mild solutions of semilinear abstract differential equations, J. Chungcheong Math. Soc. 23 (2010), no. 4, 793- 800.
7 A. Elazzouzi and K. Ezzinbi, BC-total stability and almost periodicity for some partial functional differential equations with infinite delay, J. Appl. Math. Stoch. Anal. 2005 (2005), no. 3, 259-274.   DOI   ScienceOn
8 Y. Xia and S. S. Cheng, Quasi-uniformly asymptotic stability and existence of almost periodic solutions of difference equations with applications in population dynamic systems, J. Difference Equ. Appl. 14 (2008), 59-81.   DOI   ScienceOn