A stochastic Ginzburg-Landau equation with impulsive effects

被引：17
|
作者：
Nguyen Tien Dung [1 ]
机构：
[1] FPT Univ, Dept Math, Hanoi, Vietnam
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2013年 / 392卷 / 09期
关键词：
Stochastic Ginzburg-Landau equation; Impulses; Asymptotic behavior; COLORED NOISE; SYSTEMS;
D O I：
10.1016/j.physa.2013.01.042
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we consider a stochastic Ginzburg-Landau equation with impulsive effects. We first prove the existence and uniqueness of the global solution which can be explicitly represented via the solution of a stochastic equation without impulses. Then, based on our obtained result, we study the qualitative properties of the solution, including the boundedness of moments, almost surely exponential convergence and pathwise estimations. Finally, we give a first attempt to study a fractional version of impulsive stochastic Ginzburg-Landau equations. (c) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：1962 / 1971
页数：10
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