Global asymptotic stability of solutions of cubic stochastic difference equations
dc.date.accessioned | 2012-03-30T05:32:17Z | |
dc.date.available | 2012-03-30T05:32:17Z | |
dc.date.issued | 2004-07-12 | |
dc.date.updated | 2012-03-30T05:32:17Z | |
dc.description.abstract | Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions in and#8477;1. As an application of this result, the asymptotic stability of stochastic numerical methods, such as partially drift-implicit and#952;-methods with variable step sizes for ordinary stochastic differential equations driven by standard Wiener processes, is discussed. | |
dc.description.version | Peer Reviewed | |
dc.identifier | http://dx.doi.org/10.1155/S1687183904309015 | |
dc.identifier.citation | Advances in Difference Equations. 2004 Jul 12;2004(3):513569 | |
dc.identifier.uri | https://hdl.handle.net/2139/12617 | |
dc.language.rfc3066 | en | |
dc.rights.holder | et al.; licensee BioMed Central Ltd. | |
dc.title | Global asymptotic stability of solutions of cubic stochastic difference equations | |
dc.type | Journal Article |
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