| 一类带有时滞的偏微分方程的振动性 |
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| 引用本文： | 胡庆席.一类带有时滞的偏微分方程的振动性[J].数学研究,2001,34(1):47-53. |
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| 作者姓名： | 胡庆席 |
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| 作者单位： | 中科院应用数学所, |
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| 摘 要： | 研究中立型时滞微分方程
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| 关 键 词： | 时滞 偏微分方程 中立型 振动 解 充分条件 |
| 修稿时间： | 1999年12月22 |
Oscillation of a Class of
Partial Differential Equations with Deviating Arguments |
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| Hu Qingxi.Oscillation of a Class of
Partial Differential Equations with Deviating Arguments[J].Journal of Mathematical Study,2001,34(1):47-53. |
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| Authors: | Hu Qingxi |
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| Abstract: | In this paper, we study the partial differential equations with deviating arguments of neutral type of the form(2)/(t2)［u(x,t)+p(t)u(x,t-τ)］=a(t)△u(x,t)-q(t)f(u(x,σ(t))),(x,t)∈Ω×R+≡G
(1)
Where Ω is a bounded domain with a piecewise smooth boundry, and R+＝［0,+∞). New sufficient conditions for oscillations of all solutions of equation (1) are obtained, which generalized the conclusions of paper［1］. |
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| Keywords: | deviating arguments partial differential equation oscillation |
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