一类非线性积分方程的伪概周期解  

Pseudo almost periodic solutions of a nonlinear integral equation

作　　者：张庆[1,2] 李洪旭[1] 

机构地区：[1]四川大学数学学院,成都610064 [2]四川托普信息技术职业学院基础部,成都611743

出　　处：《四川大学学报（自然科学版）》2009年第3期569-572,共4页Journal of Sichuan University(Natural Science Edition)

摘　　要：作者在伪概周期函数空间中引入了一种抽象非紧性测度,并应用与非紧性测度相关的技巧和不动点定理,研究了一类非线性积分方程的伪概周期解的存在性。An abstract concept of measures of noncompactness is introduced in the space of pseudo almost periodic functions. By using the technique associated with measures of noncompactness and a fixed point theorem, the existence of pseudo almost periodic solutions of a nonlinear integral equation is studied.

关 键 词：非线性积分方程 非紧性测度 不动点 伪概周期 

分 类 号：O175.14[理学—数学]