| 具有连续时滞的双曲型偏微分方程解的振动性 |
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| 引用本文： | 高正晖,罗李平. 具有连续时滞的双曲型偏微分方程解的振动性[J]. 重庆师范大学学报(自然科学版), 2007, 24(1): 11-14 |
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| 作者姓名： | 高正晖 罗李平 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 摘 要： | 研究了一类具有连续时滞的双曲型偏微分方程t2 A(x,t)u(x,t) ba∫B(x,t,τ)f(u(x,r1(t,τ)))dm(τ)=C(t)Δu(x,t) b∫aD(t,τ)Δu(x,r2(t,τ))dm(τ)解的振动性,获得了该方程在Rob in边值条件和D irc ichlet边值条件下解振动的充分条件。
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| 关 键 词： | 双曲型偏微分方程 连续时滞变量 振动性 |
| 文章编号： | 1672-6693(2007)01-0011-04 |
| 修稿时间： | 2006-05-08 |
Oscillation of the Solutions of Hyperbolic Partial Differential Equation with Continuous Delay |
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| GAO Zheng-hui,LUO Li-ping. Oscillation of the Solutions of Hyperbolic Partial Differential Equation with Continuous Delay[J]. Journal of Chongqing Normal University:Natural Science Edition, 2007, 24(1): 11-14 |
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| Authors: | GAO Zheng-hui LUO Li-ping |
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| Abstract: | This paper studies oscillation of the solutions of hyperbolic partial differential equation with continuous delay argument.Sufficient conditions for each solution to oscillation are obtained under Robin and Dircichlet boundary value conditions. |
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| Keywords: | hyperbolic partial differential equation continuous delay argument oscillation |
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