二阶非线性时滞微分方程的单调解(英文)  

Monotone solutions of second-order nonlinear delay differential equations

作　　者：尹福其[1] 李永昆[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2002年第3期161-163,166,共4页Journal of Yunnan University(Natural Sciences Edition)

基　　金：NationalNaturalSciencesFoundationofPeople’sRepublicofChina ( 10 0 6 10 0 4)onthegrandandNaturalSciencesFoundationofYunnanProvince

摘　　要：运用黎卡提变换研究了一类非线性时滞微分方程 ,得到了它的单调解存在性的充要条件 ,并应用这些条件获得了这类方程单调解存在性的几个判据与比较定理 .By means of a Riccati-type transformation,a class of nonlinear delay differential equation is investigated and necessary and sufficient conditions are obtained for the existence of monotone solution of a nonlinear delay differential equation.As application,several existence criteria and comparison theorems are derived

关 键 词：判据 比较定理 黎卡提变换 充要条件 存在性 二阶非线性时滞微分方程 单调解 

分 类 号：O175.14[理学—数学] O241.81[理学—基础数学]