带强迫项的高阶中立型方程非振动解的渐近性  

Asymptotic Stability Criteria for High Order Neutral Differential Equation with Forced Term

作　　者：杨明俊[1] 

机构地区：[1]太原理工大学理学院,山西太原030024

出　　处：《太原理工大学学报》2007年第5期461-463,共3页Journal of Taiyuan University of Technology

基　　金：太原理工大学校青年基金资助项目(190-12901155)

摘　　要：为了考虑多个时滞及扰动项对中立型微分方程非振动解的影响,应用微分中值定理、Hlder不等式、最值原理,将低阶单时滞中立型微分方程推广到高阶多时滞、带强迫项的中立型微分方程,得到该方程非振动解渐近性的一个充分条件。Besides its theoretical interest,the study of the asymptotic and oscillatory behavior of solutions of neutral differential equations have some importance in applications ,for example,in networks containing lossless transmission lines and so on. In order to consider the effect of multi- ple-delay and forced term on neutral delay differential equation, differential mean-value theorem, Holder inequality,max-min principle, neutral delay differential equation are used, multiple delays neutral differential equation with forced term and a sufficient condition that guarantees asymptotic behavior non-oscillative solution of equation is obtained.

关 键 词：高阶中立型微分方程 强迫项 渐近性 

分 类 号：O175.1[理学—数学]