Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise
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Publication:4979806
DOI10.1080/10236198.2013.815748zbMath1291.39041OpenAlexW2067627145MaRDI QIDQ4979806
Nikolai G. Dokuchaev, Aleksandra Rodkina
Publication date: 19 June 2014
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2013.815748
Stochastic stability in control theory (93E15) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Stability theory for difference equations (39A30) Stochastic difference equations (39A50)
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Cites Work
- Unnamed Item
- Almost sure instability of the equilibrium solution of a Milstein-type stochastic difference equation
- On stochastic stabilization of difference equations
- On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term
- Random difference equations and renewal theory for products of random matrices
- On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations
- Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise
- Probability with Martingales
- Mean-Square and Asymptotic Stability of the Stochastic Theta Method
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Almost sure asymptotic stability analysis of the θ-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
- Almost sure convergence of solutions to non-homogeneous stochastic difference equation
- Products of Random Matrices