| 具偏差变元的非线性偏微分方程解的振动性定理 |
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| 引用本文： | 崔宝同.具偏差变元的非线性偏微分方程解的振动性定理[J].烟台大学学报(自然科学与工程版),1992(Z1). |
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| 作者姓名： | 崔宝同 |
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| 作者单位： | 滨州师范专科学校 |
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| 摘 要： | 本文研究具有偏差变元的非线性偏微分方程。(?)解的振动性.其中(x.t)∈Ω×(0.∞),Ω仁|R~n是具有逐片光滑边界的有界区域.u=u(x,t),(?)获得了方程(1)的所有解振动的判别准则。
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| 关 键 词： | 偏微分方程 非线性 偏差变元 振动性 |
Oscillation Theorems of the Solutions of Nonlinear Partial Differential Equations with Deviating Arguments |
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| Cui Baotong.Oscillation Theorems of the Solutions of Nonlinear Partial Differential Equations with Deviating Arguments[J].Journal of Yantai University(Natural Science and Engineering edirion),1992(Z1). |
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| Authors: | Cui Baotong |
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| Institution: | Binzhou Normal College |
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| Abstract: | This paper discussed the oscillation of the solutions of nonlinear partial differential equation with deviating arguments of the form
In this equation (x,t), where |R it is a bounded domain with a piecewise smooth boundary, u= u(x,t)u(x,t). Oscillation criteria for all solutions of the equation
( 1 )are obtained. |
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| Keywords: | Partial differential equation Nonlinear Deviating argument Oscillation |
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