Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Shigeng Hu"'
Publikováno v:
Journal of Applied Mathematics, Vol 2010 (2010)
Neutral stochastic functional differential equations (NSFDEs) have recently been studied intensively. The well-known conditions imposed for the existence and uniqueness and exponential stability of the global solution are the local Lipschitz conditio
Externí odkaz:
https://doaj.org/article/88dcb57cb2ea46599afce5766b41979c
Publikováno v:
Journal of Inequalities and Applications, Vol 2011, Iss 1, p 914270 (2011)
This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model. The stochastic version of this process appears to have some intriguing properties such as
Externí odkaz:
https://doaj.org/article/c720549efd7b41cb8066c74300191fcf
Publikováno v:
International Journal of Control. 89:2227-2239
In the previous work by Wu et al., it was shown that the polynomial Brownian noise may suppress the potential explosion of the nonlinear system without the linear growth condition or the one-sided linear growth condition and the linear Brownian noise
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b291a0ac772b7789c280d597d304b2e2
https://doi.org/10.1080/00207179.2016.1152400
https://doi.org/10.1080/00207179.2016.1152400
Autor:
Yong Xu1 xuyonghust@126.com, Shigeng Hu1
Publikováno v:
Acta Applicandae Mathematicae. May2010, Vol. 110 Issue 2, p627-638. 12p.
Autor:
Fuke Wu, Shigeng Hu
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 32:1065-1094
The main aim of this paper is to establish the LaSalle-type theorem to locate limit sets for neutral stochastic functional differential equations with infinite delay, from which some criteria on attraction, boundedness and the almost sure stability w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0011f3e166ade6ce9a3abef7b47e5376
https://doi.org/10.3934/dcds.2012.32.1065
https://doi.org/10.3934/dcds.2012.32.1065
Autor:
Shigeng Hu, Fuke Wu
Publikováno v:
Statistics & Probability Letters. 81:1690-1694
The classical Khasminskii-type theorem gives a powerful tool to examine the global existence of solutions for stochastic differential equations without the linear growth condition by the use of the Lyapunov functions. However, there is no such result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efbe26fd119665e8bbb737cafb6bcfc2
https://doi.org/10.1016/j.spl.2011.05.005
https://doi.org/10.1016/j.spl.2011.05.005
Autor:
Fuke Wu, Shigeng Hu
Publikováno v:
Automatica. 47:2224-2232
This paper establishes the stochastic LaSalle theorem to locate limit sets for stochastic functional differential equations with infinite delay, from which some criteria on attraction, boundedness, stability and robustness are obtained. To illustrate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::367b54aefb029fb6626decb2729a1b92
https://doi.org/10.1016/j.automatica.2011.07.001
https://doi.org/10.1016/j.automatica.2011.07.001
Publikováno v:
Applied Mathematics and Computation. 218:207-218
The paper considers a stochastic functional Kolmogorov-type population system with infinite delay under the general probability measures. Main aim is to show that the environment noise will not only suppress a potential population explosion but also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50200f715b245544218f79170710adef
https://doi.org/10.1016/j.amc.2011.05.104
https://doi.org/10.1016/j.amc.2011.05.104
Autor:
Fuke Wu, Shigeng Hu
Publikováno v:
Stochastic Analysis and Applications. 29:713-721
This article considers a class of nonlocal stochastic functional differential equations with infinite delay whose coefficients are dependent the pth moment and establishes the existence-and-uniqueness theorem under the conditions that are similar to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b75678d193d3637c64d1d9b778e91037
https://doi.org/10.1080/07362994.2011.581112
https://doi.org/10.1080/07362994.2011.581112