三阶非线性中立型微分方程的振动性  

Oscillation Theorem of Philos-Type for Third Order Nonlinear Neutral Equations

作　　者：屈英[1] 孙博[1] 

机构地区：[1]中央财经大学应用数学学院,北京100081

出　　处：《数学的实践与认识》2011年第6期244-248,共5页Mathematics in Practice and Theory

摘　　要：研究三阶中立型时滞微分方程(r(t)[x(t)+p(t)x(σ(t))]″)′+q(t)f(x(t),x[q(t)])h(x′(t))=0的振动性和渐进性.给出了方程一切解振动或者渐近趋向于零的若干充分条件.The third order neutral delay differential equations （r（t）[（t）＋p（t）x（σ（t））]＂）＇＋q（t）f（x（t）,x[g（t）]）h（x＇（t））=0 is studied for its oscillatory and asymptotic nature. Some sufficient conditions have been found to ensure that all solutions are either oscillatory or they approach zero as t →∞. These results extend the oscillation criteria given by Rogovchenko, Xia and Xu.

关 键 词：振动 中立型微分方程 三阶 

分 类 号：O175[理学—数学]