Global attracting set and exponential decay of second-order neutral stochastic functional differential equations driven by fBmReportar como inadecuado




Global attracting set and exponential decay of second-order neutral stochastic functional differential equations driven by fBm - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Advances in Difference Equations

, 2017:134

First Online: 10 May 2017Received: 09 February 2017Accepted: 19 April 2017DOI: 10.1186-s13662-017-1186-2

Cite this article as: Xu, L., Li, Z. & Luo, J. Adv Differ Equ 2017 2017: 134. doi:10.1186-s13662-017-1186-2

Abstract

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<\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.

Keywordsglobal attracting set exponential decay in the pth moment second-order SDEs fractional Brownian motion MSC60H15 60G15 60H05 



Autor: Liping Xu - Zhi Li - Jiaowan Luo

Fuente: https://link.springer.com/



DESCARGAR PDF




Documentos relacionados