Criteria for the Asymptotic Stability of Solutions of Dynamical Systems
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We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of differential and difference equations in the mean square.
KeywordsDifferential Equation Dynamical System Difference Equation Asymptotic Stability Stochastic System
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