On the oscillation of solutions for a class of second-order nonlinear stochastic difference equations
| Autor: | Junshan Zeng, Zheng Yu, Enwen Zhu |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Iterated logarithm
Stochastic partial differential equation Partial differential equation Algebra and Number Theory Differential equation Independent equation Ordinary differential equation Applied Mathematics Mathematical analysis Delay differential equation Analysis Mathematics Separable partial differential equation |
| Zdroj: | Advances in Difference Equations. 2014(1):91 |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/1687-1847-2014-91 |
| Popis: | In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum sequence needs not to be an independent increment process. As an application of the theory established, we also give a sufficient criterion on the almost sure oscillation of solutions for a class of second-order stochastic difference equation of neutral type. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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