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| 二阶中立型微分方程的区间振动准则 | |
| 引用本文： | 徐志庭,贾保国,马东魁. 二阶中立型微分方程的区间振动准则[J]. 应用数学, 2004, 17(1): 132-137 |
| 作者姓名： | 徐志庭 贾保国 马东魁 |
| 作者单位： | 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 |
| 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 ,∞ )上的子区间列的性质 |
| 关 键 词： | 区间振动 中立型微分方程 二阶 |
Interval Oscillation Criteria for Second Order Neutral Differential Equations |
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| Abstract. Interval Oscillation Criteria for Second Order Neutral Differential Equations[J]. Mathematica Applicata, 2004, 17(1): 132-137 | |
| Authors: | Abstract |
| Abstract: | 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'[x'(t) ] = 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 [t0 ,∞), rather than on the whole half-linear. |
| Keywords: | Interval oscillation criteria Neutral differential equation Second order |
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