文章基本信息

标题：Global attracting set and exponential decay of second-order neutral stochastic functional differential equations driven by fBm
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作者：Liping Xu ; Zhi Li ; Jiaowan Luo 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：134
DOI：10.1186/s13662-017-1186-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we are concerned with a class of second-order neutral stochastic functional differential equations driven by a fractional Brownian motion with Hurst parameter 1 / 2 < ħ < 1 $1/2<\hbar <1$ on the Hilbert space. By combining some stochastic analysis theory and new integral inequality techniques, we identify the global attracting sets of the equations under investigation. Some sufficient conditions ensuring the exponential decay of mild solutions in the pth moment to the stochastic systems are obtained. Last, an example is presented to illustrate our theory in the work.
关键词：global attracting set ; exponential decay in the p th moment ; second-order SDEs ; fractional Brownian motion