| 一类具连续分布滞量的非线性双曲方程的强迫振动性 |
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| 引用本文： | 罗李平 欧阳自根 阳志锋 谭琼华. 一类具连续分布滞量的非线性双曲方程的强迫振动性[J]. 科学技术与工程, 2005, 5(15): 1048-1050 |
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| 作者姓名： | 罗李平 欧阳自根 阳志锋 谭琼华 |
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| 作者单位： | 衡阳师范学院数学系,衡阳,421008;南华大学数学系,衡阳,421001 |
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| 基金项目： | 国家自然科学基金(10471086)资助 |
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| 摘 要： | 研究一类具连续分布滞量的非线性双曲偏泛函微分方程解的强迫振动性,利用平均值技巧和Robin 特征函数得到了这类方程在Robin边值条件下解振动的充分条件。
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| 关 键 词： | 非线性 双曲型方程 强迫振动性 连续分布滞量 |
| 文章编号： | 1671-1815(2005)15-1048-03 |
| 修稿时间： | 2005-04-13 |
Forced Oscillation of a Class of Nonlinear Hyperbolic Equations with Continuous Distribution Delay |
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| LUO Liping,OUYANG Zigen,YANG Zhifeng,TAN Qionghua Dept. of Math. .Hengyang Normal Institute,Hengyang,Dept. of Math.,Nanhua University,Hengyang. Forced Oscillation of a Class of Nonlinear Hyperbolic Equations with Continuous Distribution Delay[J]. Science Technology and Engineering, 2005, 5(15): 1048-1050 |
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| Authors: | LUO Liping OUYANG Zigen YANG Zhifeng TAN Qionghua Dept. of Math. .Hengyang Normal Institute Hengyang Dept. of Math. Nanhua University Hengyang |
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| Affiliation: | LUO Liping,OUYANG Zigen,YANG Zhifeng,TAN Qionghua Dept. of Math. .Hengyang Normal Institute,Hengyang 421008, Dept. of Math.,Nanhua University,Hengyang 421001 |
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| Abstract: | The forced oscillation of solutions for a class of nonlinear partial functional differential equations with continuous distribution delay is studied. The sufficient conditions are obtained for oscillation of solutions of such equation under Robin boundary condition by using averaging technique and Robin eigenfunction. |
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| Keywords: | nonlinear hyperbolic equation forced oscillation continuous distribution delay |
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