| 中立双曲型时滞偏微分方程解振动的充要条件 |
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| 引用本文： | 刘安平,王国庆,刘中全. 中立双曲型时滞偏微分方程解振动的充要条件[J]. 大学数学, 1997, 0(3) |
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| 作者姓名： | 刘安平 王国庆 刘中全 |
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| 作者单位： | 中国地质大学数理系，重庆工业管理学院基础系 |
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| 摘 要： | 本文讨论一类线性中立双曲型时滞微分方程解的振动性质，获得了其一切解振动的充要条件．
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| 关 键 词： | 中立型 双曲型 时滞 振动 |
Necessary and Sufficient Conditions for Oscillations of Hyperbolic Neutral Partial Differential Equations |
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| Liu Anping Wang Guoqing. Necessary and Sufficient Conditions for Oscillations of Hyperbolic Neutral Partial Differential Equations[J]. College Mathematics, 1997, 0(3) |
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| Authors: | Liu Anping Wang Guoqing |
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| Abstract: | In this paper, we investigate oscillatory properties of solutions of certain Hyperbolic neutral partial differential equations and establish a necessary and sufficient condition for oscillations of the equations. The results fully indicate that the oscillations are caused by delay and the oscillatory nature is determined by their characteristic equations. This is one important conclusion and, hence, reveals the essential differences between the equations and those equations without delay. |
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| Keywords: | hyperbolic neutral delay oscillation. |
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