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  • 标题:Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations
  • 本地全文:下载
  • 作者:Beatrice Paternoster ; Leonid Shaikhet
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2008
  • 卷号:2008
  • 期号:1
  • 页码:718408
  • DOI:10.1155/2008/718408
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:It is supposed that the fractional difference equation , has an equilibrium point and is exposed to additive stochastic perturbations type of that are directly proportional to the deviation of the system state from the equilibrium point . It is shown that known results in the theory of stability of stochastic difference equations that were obtained via V. Kolmanovskii and L. Shaikhet general method of Lyapunov functionals construction can be successfully used for getting of sufficient conditions for stability in probability of equilibrium points of the considered stochastic fractional difference equation. Numerous graphical illustrations of stability regions and trajectories of solutions are plotted.
  • 关键词:Stability Condition ; Equilibrium Point ; Nonlinear Equation ; Difference Equation ; Linear Part
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