非线性中立型微分系统的渐近性研究

Asymptotic Behavior of the Nonlinear Neutral Differential Systems

中立型微分系统描述的动态问题,特别是非线性渐近性态的研究对实际问题有重要的指导意义.本文研究了一类非线性中立型微分系统,同时将利用系统振动性和最终正解与负解的概念以及 Schauder Tychonoff 不动点引理、Arzela定理得出了一系列该类非线性系统渐近性的有关结论,这些结论在实际应用中是很容易验证的.

The research of dynamic problems of neutral differential systems,especially the asymptotic behavior research,is important meaning to study the physical problem,In this paper,a kind of nonlinear neutral differential system is discussed.Some sufficient conditions are given by using analysis.The applied approaches involved in the definitions of oscillatory solution,eventually positive or negative,Schauder-Tychonoff fixed point lemma and Arzela theorem etc.Those conditions are easy to test in the physical application.