| 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(自然科学版), 1993, 0(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(δU_i)/(δt)+∑sum from j=1 to m P_(ij)(x,t)U_i(x,t-τ(t))=a_i(t)ΔU_i+∑sum from j=1 to m_1 a_(ij)(t)ΔU_i(x,t-δ_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_i=U_i(x,t),ΔU_i=∑sum from j=1 to n (δ~2U_i(x,t))/(δ)x_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(Natural Science), 1993, 0(6) |
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| Authors: | Liu Bing |
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| Affiliation: | Hubei Normal University |
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| Abstract: | |
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| Keywords: | Delay Linear Parabolic Oscillation |
| 本文献已被 CNKI 等数据库收录！ |
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