| 一类二阶Emden-Fowler型中立型时滞微分方程的区间振动性 |
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| 引用本文： | 张静,陈目.一类二阶Emden-Fowler型中立型时滞微分方程的区间振动性[J].大学数学,2011,27(3):124-130. |
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| 作者姓名： | 张静 陈目 |
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| 作者单位： | 1. 广州市纺织服装职业学校,广东,广州,510310
2. 广东体育职业技术学院,广东,广州,510663 |
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| 摘 要： | 对一类二阶Emden-Fowler型中立型时滞积分方程(a(t)x′(t))′+q<,1>(t)|y(t-σ<,1>)|<'α>sgn x(t-σ<,1>)+g<,2>(t)|y(t-σ<,2>)|<'β>sgn y(t-σ<,2>)=0,利用Riccati技巧和积分平均法,给出了一些判定其解振动的充分判据.这些判据仅...
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| 关 键 词： | 振动 中立型时滞微分方程 积分平均法 |
Interval Oscillation Criteria for Second-order Emden-Fowler Neutral Delay Differential Equations |
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| ZHANG Jing,CHEN Mu.Interval Oscillation Criteria for Second-order Emden-Fowler Neutral Delay Differential Equations[J].College Mathematics,2011,27(3):124-130. |
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| Authors: | ZHANG Jing CHEN Mu |
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| Institution: | ZHANG Jing1,CHEN Mu2(1.Guangzhou Textile and Garment Vocational School,Guangzhou 510310,China,2.Guangdong Vocational Institute of Sport,Guangzhou 510663,China) |
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| Abstract: | By using a generalized Riccati technique and an integral averaging method,interval oscillation criteria are established for the second-order Emden-Fowler neutral delay differential equation(a(t)x′(t))′+q1(t)|y(t-σ1)|αsgn x(t-σ1)+q2(t)|y(t-σ2)|βsgn y(t-σ2)=0.These criteria are different from most know ones that they are based on information only on a sequence of subintervals of,rather than on the whole half-line.In particular,a interesting examples that point out the importance of our results are also included. |
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| Keywords: | oscillation neutral delay differential equation integral averaging method |
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