| 中立型非线性双曲方程解的强迫振动性 |
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| 引用本文： | 邓立虎,刘永信,谭永明.中立型非线性双曲方程解的强迫振动性[J].内蒙古大学学报(自然科学版),2005,36(2):121-125. |
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| 作者姓名： | 邓立虎 刘永信 谭永明 |
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| 作者单位： | 东莞理工学院应用数学研究所,广东,东莞,523106;内蒙古大学自动化系,呼和浩特,010021 |
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| 基金项目： | 广东省科技计划项目 (No.2 0 0 3 A1 0 40 3 1 2 )，教育部重点项目基金 (2 0 40 3 1 )，内蒙古大学博士基金
(2 0 3 0 43 )资助~~ |
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| 摘 要： | 利用平均值技巧 ,特别利用 Robin特征值问题结合 Green公式 ,将多维问题化为常微分不等式 ,研究一类中立型非线性双曲方程解的强迫振动性
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| 关 键 词： | 非线性双曲微分方程 Robin特征值 强迫振动性 |
Forced Oscillations of Solution to Nonlinear Hyperbolic Equations of Neutral Type |
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| DENG Li-hu,LIU Yong-xin,TAN Yong-ming.Forced Oscillations of Solution to Nonlinear Hyperbolic Equations of Neutral Type[J].Acta Scientiarum Naturalium Universitatis Neimongol,2005,36(2):121-125. |
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| Authors: | DENG Li-hu LIU Yong-xin TAN Yong-ming |
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| Institution: | DENG Li-hu~1,LIU Yong-xin~2,TAN Yong-ming~1 |
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| Abstract: | By means of averaging technique,particularly combining the method of Robin eigenvalue problem with the Green′s formula,the multi-dimensional problem was reduced to a one-dimensional oscillation problem of ordinary differential inequalities.The forced oscillations of solutions to nonlinear hyperbolic equations of neutral type are considered. |
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| Keywords: | nonlinear hyperbolic equation Robin eigenvalue forced oscillation |
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