一类中立型微分方程的渐近概周期温和解  

Asymptotically Almost Periodic Mild Solutions of Neutral Differential Equations

作　　者：姚慧丽[1] 李雪鑫[1] 付作娴[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》2012年第6期65-67,共3页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅2011年度科学技术研究项目(12511110)

摘　　要：概周期型函数的研究受到了国内外越来越多数学工作者的关注,特别是将其应用到微分方程中.利用不动点定理,结合算子半群有关理论,讨论了一类中立型微分方程的渐近概周期温和解的存在性.本文的研究问题是在一些文献对这类方程的概周期温和解研究的基础上进行的,扩大了方程解的范围,这样能够使结论应用到更一般的问题中.The research of almost periodic type function is aroused by mathematical workers at home and broad.Especially,it is applied to differential equation.In this paper,the existence of asymptotically almost periodic mild solution for a class of neutral differential equation is discussed by fixed theorem and some knowledge on C0-semigroup.The research is made on the basis of some literature for almost periodic mild solution.Then we expand the scope of the equations and applied the conclusions to more general problems.

关 键 词：渐近概周期温和解 不动点 微分方程 

分 类 号：O177.5[理学—数学]