一类三阶非线性滞后微分系统的振动性态  

Oscillatory Behavior of A Class of Nonlinear Functional Differential Systems of Third Order

作　　者：计国君[1] 周艳[2] 

机构地区：[1]厦门大学管理学院,福建厦门361005 [2]厦门大学经济学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2004年第B08期344-348,共5页Journal of Xiamen University：Natural Science

摘　　要：尽管线性微分系统已经有一系列的理论结果,但是其相应的具滞后的线性或者非线性系统的研究并不太多.本文讨论了一类非线性微分系统的振动性态.我们所用的分析方法比较简便且结论比已给出的结论要好.Although a considerable amount of research has been done on the linear homogeneous differential equations of third order without time-delay, the corresponding linear or nonlinear functional differential equations are less studied. This paper investigates the oscillatory and nonoscillatory behavior of solutions of a class of third order nonlinear functional differential equations. Our techniques are better than those presented at appeared. Our results are first given in the literature.

关 键 词：三阶非线性滞后微分系统 振动性态 最终正解 最终负解 非振动解 

分 类 号：O175[理学—数学]