h-STABILITY FOR PERTURBED VOLTERRA DIFFERENCE SYSTEMS

  • Goo, Yoon Hoe (Department of Mathematics, Hanseo University) ;
  • Jung, Se Lim (Department of Mathematics, Hanseo University) ;
  • Ry, Dae Hee (Department of Computer Science, Chungwoon University)
  • Received : 2009.06.25
  • Accepted : 2009.08.20
  • Published : 2009.12.30

Abstract

We investigate h-stability of solutions of perturbed Volterra difference systems.

Keywords

References

  1. R. P. Agarwal, Difference Equations and Inequalities, Marcel Dekker Inc., New York, 1992.
  2. S. K. Choi and N. J. Koo, Asymptotic equivalence between two linear Volterra difference systems, Comput. Math. Appl. 47 (2004), 461-471. https://doi.org/10.1016/S0898-1221(04)90038-7
  3. 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. https://doi.org/10.4134/BKMS.2007.44.1.177
  4. S. K. Choi , N. J. Koo and Y. H. Goo, Asymptotic property of nonlinear Volterra difference systems, Nonlinear Analysis. 51 (2002), 321-337. https://doi.org/10.1016/S0362-546X(01)00833-1
  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. https://doi.org/10.4134/BKMS.2002.39.1.053
  6. S. K. Choi , N. J. Koo and H. S. Ruy, Asymptotic equivalence between two difference systems, Comput. Math. Appl. 45 (2003), 1327-1337. https://doi.org/10.1016/S0898-1221(03)00106-8
  7. Y. H. Goo and D. H. Ry, h-stability for perturbed integro-differential systems, J. Chungcheong Math. Soc. 21 (2008), 511-517.
  8. Y. H. Goo, G. I. Park and J. H. Go, h-stability in Volterra difference systems, submitted.
  9. V. Lakshmikantham and D. Trigiante, Theory of Difference Equations with Applications to Numerical Analysis, Academic Press, 1988.
  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. https://doi.org/10.1016/S0362-546X(96)00111-3
  13. M. Zouyousefain and S. Leela, Stability results for nonlinear difference equations of Volterra type, Appl. Math. Compu. 36 (1990), 51-61. https://doi.org/10.1016/0096-3003(90)90074-D