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$h$-stability for nonlinear perturbed differencesystems

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Abstract

We show that two concepts of h-stability and h-stabil-ity invariation for nonlinear difference systems are equivalent by usingthe concept of n_infty-summable similarity of their associatedvariational systems. Also, we study h-stability for perturbednonlinear system y(n+1)=f(n,y(n))+g(n,y(n),Sy(n)) of nonlineardifference system x(n+1)=f(n,x(n)) using the comparisonprinciple and extended discrete Bihari-type inequality.

참고문헌 (13)

  1. "newblock Difference equations andinequalities" (2000), newblock Marcel Dekker
  2. "newblock h-stability of differential systems via t_infty-similarity via t_infty-similarity,newblo", 34, pp.371~383 (1997)
  3. K. Choi, "newblock Lipschitz stability and exponential asymptotic stability for thenonlinear functional differential systems,newblock", 6, pp.397~410 (1997)
  4. "newblock Variationally stable difference systems by n_infty- similarity,newblock", 249, pp.553~568 (2000)
  5. "newblock Variatonally stable difference systems,newblock", 25, pp.587~605 (2001)
  6. "to appear in Discrete Dyn. Nat. Soc.}"
  7. "newblock Asymptotic equivalence between two linear Volterra difference systems,newblock", 47, pp.461~471 (2004)
  8. "newblock Theory of difference equations with applications to numerical analysis" (1988), newblock Academic Press
  9. "newblock Asymptotic behavior of nonlinear difference systems,newblock", 219, pp.294~311 (1998)
  10. "newblock Stability of nonlinear difference equations,newblock", 2, pp.397~404 (1996)
  11. "newblock Variationally stable difference equations,newblock", 2, pp.1141~1152 (1997)
  12. "newblock Perturbations of asymptotically stable differenctial systems", pp.161~4 (1984)
  13. "newblock Linear asymptotic equilibrium and uniform, exponential, and strictly stability of linear difference systems,newblock", 36, pp.261~267 (1998)

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