积分-微分方程周期解的存在性(英文)  

Periodic Solutions of Nonlinear Integro-differential Equations

作　　者：海红[1] 

机构地区：[1]中国人民武装警察部队学院基础部,河北廊坊065000

出　　处：《内蒙古大学学报（自然科学版）》2013年第2期141-145,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：The Project of Ministry of Education of Hebei Province(Z2011333)~~

摘　　要：以(Cg,|.|g)为相空间研究了具有无限时滞积分-微分方程周期解的存在性,利用Schauder-Tychonov不动点定理证明了方程解的g一致有界解有界性和g一致最终有界性蕴含周期解的存在性,推广了已有的一些结论.The existence of periodic solutions of nonlinear integro-differential equations with infinite delay is studied in the phase space （ Cg, I·Ig ）. It has been proved that g - uniformly bounded and g - uniformly ultimately bounded solutions imply the exist-ence of periodic solutions using fixed point theorem of Schauder-Tychonov. Some known results are generalized.

关 键 词：积分-微分方程 g一致有界解 g一致最终有界解 周期解 

分 类 号：O175.6[理学—数学]