二阶中立型微分方程的区间振动准则(英文)  

Interval Oscillation Criteria for Second Order Neutral Differential Equations

作　　者：徐志庭[1] 贾保国[2] 马东魁[3] 

机构地区：[1]华南师范大学数学系,广州510631 [2]中山大学数学和科学计算学院,广州510275 [3]华南理工大学应用数学系,广州510641

出　　处：《应用数学》2004年第1期132-137,共6页Mathematica Applicata

摘　　要：利用平均函数技巧 ,对二阶中立型微分方程 [a(t) (x(t) +p(t)x(t-τ) )′]′+q(t)f[x(t) ,x(t-σ) ]g[x′(t) ]=0建立了一些区间振动准则 ,这些振动准则不同于已知依赖于整个区间 [t0 ,∞ )的性质的结果 ,而是仅依赖于 [t0 ,∞ )By means of the averaging technique,we obtain new oscillation criteria for second order neutral differential equation [a(t)(x(t)+p(t)x(t-τ))′]′+q(t)f[x(t),x(t-σ)]g′=0.These results are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t 0,∞),rather than on the whole halflinear.

关 键 词：二阶中立型微分方程 区间振动准则 平均函数 连续性 

分 类 号：O175[理学—数学]