一类延迟积分方程的概周期解  

Almost Periodic Solution for Some Delay Integral Equation

作　　者：李兴华[1] 姜明红[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》2013年第5期119-122,共4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：在积分方程的研究领域中,延迟积分方程的各种解的存在性成了重要的研究课题.因为这类方程最早是关于传染病建立起来的.其中一类方程的延迟是常数时的概周期型解已经被有关文献讨论.本文是把这类方程的延迟改为依赖变量,应用关于Hilbert投影度量的不动点理论,研究其概周期解的存在性,这样会使这类方程应用得更广.The existence of all kinds of solutions for integral equations becomes important research topics in the study fields of integral equations. Since this kind of equation was established about epidemic problem early, almost periodic type solutions were discussed for the kind of equation with the constant delay by relevant literature. The existence of almost periodic solution is investigated for this kind of integral equation with the delay by constant into dependence on argument by some fixed point theorem on Hilbert projective metric in this paper,. Thus, this kind of integral equation can be used more widelv.

关 键 词：概周期解 延迟积分方程 不动点理论 

分 类 号：O177.7[理学—数学]