On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations

DOI10.1080/10236190701871786zbMath1155.39003OpenAlexW2002016291MaRDI QIDQ3527710

Gregory Berkolaiko, John A. D. Appleby, Aleksandra Rodkina

Publication date: 30 September 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701871786

zbMATH Keywords

stochastic stabilitynonlinear difference equationsequations with randomness

Mathematics Subject Classification ID

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Cites Work

• On stochastic stabilization of difference equations
• Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique
• On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise
• An ‘excursion’ approach to an annealing problem
• Mean-Square and Asymptotic Stability of the Stochastic Theta Method
• Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
• Almost sure convergence of solutions to non-homogeneous stochastic difference equation

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