含时滞与阻尼项的二阶半线性微分方程解的振动性  

OSCILLATION OF SOLUTIONS FOR SECOND ORDER HALF-LINEAR DIFFERENTIAL EQUATION WITH DELAY ARGUMENTS AND DAMPING TERMS

作　　者：高正晖[1] 罗李平[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《北京工商大学学报（自然科学版）》2010年第5期75-77,共3页Journal of Beijing Technology and Business University:Natural Science Edition

基　　金：湖南省教育厅科研项目(07C164)

摘　　要：研究了一类含有时滞与阻尼项的二阶半线性微分方程[r(t)|x′(t)|α-1x′(t)]′+p(t)|x′(t)|α-1x′(t)+q(t)|x(σ(t))|α-1x(σ(t))=0(t>T),运用Riccati变换和H函数方法,获得了该方程解的振动性的若干充分条件.Oscillation for the solutions of second order half-linear differential equation with delay arguments and damping terms were studied.By using Riccati transformation and methods of H function,some new sufficient conditions for the oscillation of each solution of the equation were obtained.

关 键 词：二阶半线性微分方程 时滞 RICCATI变换 阻尼次 振动性 

分 类 号：O175.13[理学—数学]