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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：数学科学学院院长、党委副书记
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：应用数学. 应用数学. 概率论与数理统计. 概率论与数理统计
办公地点：数学楼520室
联系方式：0411-84706570，0411-84708351-8520
电子邮箱：zxliu@dlut.edu.cn
ALMOST PERIODIC SOLUTIONS AND STABLE SOLUTIONS FOR STOCHASTIC DIFFERENTIAL EQUATIONS
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论文类型：期刊论文
发表时间：2019-11-01
发表刊物：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
收录刊物：SCIE
卷号：24
期号：11
页面范围：5927-5944
ISSN号：1531-3492
关键字：Stochastic differential equation; almost periodic solution; asymptotically almost periodic solution; stable in distribution; Lyapunov function
摘要：In this paper, we discuss the relationships between stability and almost periodicity for solutions of stochastic differential equations. Our essential idea is to get stability of solutions or systems by some inherited properties of Lyapunov functions. Under suitable conditions besides Lyapunov functions, we obtain the existence of almost periodic solutions in distribution.