| 线性抛物型时滞微分方程组解的振动性定理 |
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| 引用本文： | 刘斌.线性抛物型时滞微分方程组解的振动性定理[J].湖北师范学院学报(哲学社会科学版),1993(6). |
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| 作者姓名： | 刘斌 |
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| 摘 要： | 本文研究线性抛物型时滞微分方程组 φU_i/φt+sun from j=1 to m(P_(ij)(x,t)U_i(x,t-τ(t)))=a_i(t)△U_i+sun from j=1 to m_1(a_(ij)(t)△U_i(x,t-σ_j)),i=1,2…,m (1)解的振动性,其中(x,t)∈Ω×(0,∞),ΩR~n是具有逐片光滑的边界的有界区域,U_1=U_1(x,t),△U_1=sun from j=1 to n(φ~2Ui(x,t)/φx_j~2),获得了方程组(1)的所有解振动的充分条件,同时给出了应用这些充分条件的例子。
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| 关 键 词： | 线性抛物型 时滞的 振动性 |
OSCILLATION THEOREMS OF THE SOLUTIONS OF SYSTEMS OF LINEAR PARABOLIC DELAY DIFFERENTIAL EQUATIONS |
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| Liu Bing.OSCILLATION THEOREMS OF THE SOLUTIONS OF SYSTEMS OF LINEAR PARABOLIC DELAY DIFFERENTIAL EQUATIONS[J].Journal of Hubei Normal University(Philosophy and Social Science),1993(6). |
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| Authors: | Liu Bing |
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| Institution: | Hubei Normal University |
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| Abstract: | |
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| Keywords: | Delay Linear Parabolic Oscillation |
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