| 一类中立型双曲微分方程的强迫振动性 |
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| 引用本文： | 杨戍,王文祥. 一类中立型双曲微分方程的强迫振动性[J]. 华北科技学院学报, 2010, 7(2): 80-83 |
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| 作者姓名： | 杨戍 王文祥 |
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| 作者单位： | 华北科技学院基础部,北京,东燕郊,101601 |
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| 摘 要： | 本文研究了一类双曲微分方程2/t2[u+c(t)u(x,t-τ)]=a0(t)Δu+a1(t)Δu(x,t-ρ)-a∫bq(x,t,ξ)f(u[x,g(t,ξ)])du(ξ)+g(x,t),(x,t)∈Ω×R+≡G,在边界条件下u/N+v(x,t)u=0,(x,t)∈uΩ×R+解的振动性问题,得到c(t)≥1情况下边值问题解的振动条件。
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| 关 键 词： | 振动性 双曲方程 边值问题 分布偏差变元 |
Forced oscillation a class of hyperbolic differential equations |
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| YANG Shu,WANG Wenxiang. Forced oscillation a class of hyperbolic differential equations[J]. Journal of North China Institute of Science and Technology, 2010, 7(2): 80-83 |
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| Authors: | YANG Shu WANG Wenxiang |
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| Affiliation: | (Dept. of Foundation,North China Institute of Science and Technology,Yanjiao Beijing-East 101601 ) |
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| Abstract: | In this paper ,we study the following boundary value prolem for a class of neutral hyperbolic differential Equations 2/t2[u＋c（t）u（x,t-τ）]=a0（t）Δu＋a1（t）Δu（x,t-ρ）-∫baq（x,t,ξ）f（u[x,g（t,ξ）]dμ（ξ）＋g（x,t）,（x,t）∈Ω×R＋≡G,u/N＋v（x,t）u=0,（x,t）∈Ω×R＋,c（t）≥1two theorems for oscillatory solutions of the problem are developed. |
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| Keywords: | Oscillation hyperbolic differential equations boundary value conditions distributed value conditions |
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