Lévy过程驱动的随机泛函积分-微分方程的概周期解（英文）  

On Almost Periodic Solutions for Stochastic Functional Integro-differential Evolution Equations with Lévy Noise

作　　者：徐丽平 罗交晚[1] 李治[2] XU Liping1,2, LUO Jiaowan1, LI Zhi2(1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guang- dong, 510006, P. R. China; 2. School of Information and Mathematics, Yangtze University, Jingzhou, Hebei, 434023, P. R. Chin)

机构地区：[1]广州大学数学与信息学院,广州广东510006 [2]长江大学信息与数学学院,荆州湖北434023

出　　处：《数学进展》2018年第2期259-276,共18页Advances in Mathematics（China）

基　　金：This work is supported by NSFC (No. 11271093) and the Natural Science Foundation of Hubei Province (No. 20160FB479).

摘　　要：本文研究一类Levy过程驱动的无穷维随机泛函积分-微分发展方程.在一些合适的条件下,使用算子半群理论和不动点方法,这些方程的概周期温和解的存在唯一性被讨论.进一步,为了说明我们的结果,一个例子被提出.In this paper, we investigate a class of stochastic functional integro-differential evolution equations with infinite dimensional Levy noise. Under some suitable assumptions, the existence and uniqueness of almost periodic mild solutions in distribution to these equations are discussed by means of semigroups of operators and fixed point method. Moreover, an example is given to illustrate our results.

关 键 词：概周期性 随机泛函积分-微分发展方程 Levy噪声 

分 类 号：O211.63[理学—概率论与数理统计]