STABILITY IN VARIATION FOR NONLINEAR VOLTERRA DIFFERENCE SYSTEMS

  • Choi, Sung-Kyu (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Koo, Nam-Jip (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
  • 발행 : 2001.02.01

초록

We investigate the property of h-stability, which is an important extension of the notions of exponential stability and uniform Lipschitz stability in variation for nonlinear Volterra difference systems.

키워드

참고문헌

  1. Difference Equations and Inequalities R.P. Agarwal
  2. Dynamic Systems and Applications v.6 Lipschitz stability and exponential asymptotic stability for the nonlinear functional differential systems S.K.Choi;Y.H.Goo;N.J.Koo
  3. Bull. Inst. Acad. Sinica v.21 h-stability in differential systems S.K.Choi;H.S.Ryn
  4. J. Math. Anal. Appl. Variationally stable difference systems by n?-similarity S.K.Choi;N.J.Koo
  5. J. Math. Anal. Appl. v.113 Lipschitz stability of nonlinear systems of differential equations F.Dannan;S.Elaydi
  6. Theory of Difference Equations with Applications to Numerical Analysis V.Lakshmikantham;D.Trigiante
  7. Nonlinear Studies v.6 Stability results for nonlinear difference equations R.Medina
  8. Proc. Dynamic Systems and Appl. v.2 Stability of nonlinear difference equations R.Medina;M.Pinto
  9. Nonlinear Analysis TMA v.30 Variationally stable difference equations
  10. Analysis v.4 Perturbations of asymptotically stable differential systems M.Pinto
  11. Appl. Math. Compu. v.36 Stability results for difference equations of Volterra type M.Zouyousefain;S.Leela