无穷时滞泛函微分方程的概周期解  

Almost Periodic Solution of the Functional Differential Equations with Infnite Delay

作　　者：刘易成[1] 李志祥[1] 

机构地区：[1]国防科技大学理学院数学系,湖南长沙410073

出　　处：《工程数学学报》2005年第1期72-76,共5页Chinese Journal of Engineering Mathematics

基　　金：国防科技大学预研基金.

摘　　要：讨论一类高维的具无穷时滞的中立型泛函微分方程的概周期解问题。利用 Ch 空间,矩阵测度 和 Krasnoselskii 不动点定理获得了其概周期的存在性与唯一性定理。同时给出了模包含关系, 推广了相应文献的结果。We investigate the almost periodic solution of higher dimensional neutral functional di?er- ential equation with in?nite delay. Some results on the existence and uniqueness of almost periodic so- lution are obtained by using Ch space,matrix measure and Krasnoselskii’s ?xed theorem.Meanwhile,we derive the model containment and generalize several results in corresponding reference.

关 键 词：中立型泛函微分方程 概周期解 矩阵测度 无穷时滞 

分 类 号：O175.1[理学—数学]