一类二阶的中立型微分方程反周期解的存在性和唯一性(英文)  

Existence and Uniqueness of Anti-periodic Solutions to a Kind of Second-order Neutral Functional Differential Equations

作　　者：朱敏[1] 黄德新[1] 鲁世平[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《应用数学》2011年第2期338-344,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (40876010);the Key NSF of Education Ministry of China (207047)

摘　　要：本文通过度理论,研究了如下的中立型微分方程的反周期解(u(t)-ku(t-r))″= f(u′(t))+g(u(t-τ(t)))+p(t),得到了关于反周期解存在性和唯一性的新结果.本文所探讨的方程和使用的方法和已有的文献都有所不同.We use the Leray-Schauder degree theory to establish some new results on the anti-peri- odic solution for a kind of neutral differential equations. The main results are related the neutral e- quation and new method,which are all different from the known literature.

关 键 词：反周期解 中立型微分方程 Leray—Schauder度 

分 类 号：O175.1[理学—数学]