一类滞后型泛函微分方程振动的充分必要条件  

Necessary and Sufficient Conditions for Oscillations of a Class of Functional Differential Equations of Delayed Type

作　　者：倪丹红[1] 

机构地区：[1]温州师范学院数学与信息科学学院,浙江温州325035

出　　处：《温州师范学院学报》2005年第5期11-18,共8页Journal of Wenzhou Teachers College(Philosophy and Social Science Edition)

摘　　要：考虑具有三个滞后变元的线性常系数泛函微分方程的振动性,以包络线为工具得到用系数和变元表示的一切解振动的充分必要条件.此研究推广了文[1]的结果,将使振动性的判断得到简化.Considering the oscillation of linear constant coefficient functional differential equation with three delayed arguments, the necessary and sufficient conditions characterized by coefficients and arguments under which every solution will be oscillatory through envelope curve are obtained. This study generalizes the result of article [4] and will make the judgment of oscillation much easier.

关 键 词：泛函微分方程 滞后型 振动性 

分 类 号：O175.1[理学—数学]