Titlebook: Lyapunov Functionals and Stability of Stochastic Difference Equations; Leonid Shaikhet Book 2011 Springer-Verlag London Limited 2011 Contr

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Nonlinear Systems,is studied. Sufficient criteria for stability are obtained by virtue of the procedure of the construction of Lyapunov functionals, martingale decomposition and semi-martingale convergence theorems. Some demonstrative examples with illustrative figures of stability regions and trajectories of solutions are presented.

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ily.Profuse analytical and numerical examples help to explaiHereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for di