三阶非线性中立型方程的Philos型振动定理  

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

作　　者：屈英[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7期247-252,共6页Mathematics in Practice and Theory

摘　　要：研究三阶中立型分布时滞微分方程(r(t)[x(t)+p(t)x(r(t))]″)′+∫_a^b q(t,ξ)f(x[g(t,ξ)])dσ(ξ)=0的振动性.利用广义Riccati变换和积分平均技巧,建立了保证此方程一切解振动或者收敛到零的若干新的充分条件.The purpose of this paper is to study the oscillation of third order neutral differential equations with distributed delays of the form（r（t）[x（t）＋p（t）x（T（t））]″）′＋∫a^bq（t,ζ）f（x[g（t,ζ）]）dσ（ζ）=0By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which insure that any solution of this equation oscillates or con verges to zero.

关 键 词：三阶中立型方程 分布时滞 广义Riccati变换 Philos型振动准则 

分 类 号：O175[理学—数学]