一类随机泛函积分微分方程的p-期望伪概自守温和解  

p-th Mean Pseudo Almost Automorphic Mild Solutions for a Class of Stochastic Functional Integrodifferential Equations

作　　者：姚慧丽[1] 刘婷[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2017年第4期135-142,共8页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(12511110)

摘　　要：针对实可分的Hilbert空间中一类随机泛函积分微分方程的p-期望伪概自守温和解的存在性进行研究。在弱于Lipschitz条件的假设下,利用Schauder不动点定理研究了该类方程的p-期望伪概自守温和解的存在性。The existence of p -th mean pseudo almost automorphic mild solutions for a class stochastic functional integrodifferential equations in a real separable Hilbert space are studied. Under the assumption which is weaker than the Lipschitz condition, the existence of p -th mean pseudo almost automorphic mild solutions is studied by the Schauder fixed point.

关 键 词：p-期望伪概自守温和解 随机泛函积分微分方程 SCHAUDER不动点定理 

分 类 号：O175[理学—数学]