| 具非线性扩散系数和阻尼项的双曲型偏微分方程系统解的振动性 |
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| 引用本文： | 曾云辉,罗碧飞.具非线性扩散系数和阻尼项的双曲型偏微分方程系统解的振动性[J].衡阳师范学院学报,2009,30(3):11-14. |
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| 作者姓名： | 曾云辉 罗碧飞 |
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| 作者单位： | 1. 衡阳师范学院,数学与计算科学系,湖南,衡阳,421008
2. 衡阳市实验中学,湖南,衡阳,421001 |
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| 基金项目： | 湖南省教育厅基金资助项目，衡阳师范学院科学基金资助项目 |
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| 摘 要： | 研究了一类具非线性扩散系数和阻尼项的双曲型偏微分方程系统(a)2u1(x,t)/(a)t2+m(t)(a)u1(x,t)/(a)t=ai(t)hi(ui)△ui+n∑j=1aij(t)hij(u1(x,t-τj(t)))△ui(x,t-τj(t))-m∑k=1bik(x,t)uk(x,t-σ(t)) (x,t)∈Ω×R+≡G,i=1,2,…m,获得了该方程组在Robin边值条件下解振动的充分条件.
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| 关 键 词： | 阻尼项 非线性扩散系数 双曲型偏微分方程系统 振动性 |
Oscillation of the Solutions of Neutral Hyperbolic Partial Differential Equations with Nonlinear Diffusion Coefficient and Damped Terms |
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| ZENG Yun-hui,LUO Bi-fie.Oscillation of the Solutions of Neutral Hyperbolic Partial Differential Equations with Nonlinear Diffusion Coefficient and Damped Terms[J].journal of Hengyang Normal University,2009,30(3):11-14. |
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| Authors: | ZENG Yun-hui LUO Bi-fie |
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| Institution: | 1.Department of Mathematics and Computional Science;Hengyang Normal University;Hengyang Hunan 421008;China;2.Experimental Middle School of Hengyang;Hengyang Hunan 421001;China |
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| Abstract: | In this paper,we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.Some sufficient conditions for solutions to oscillation are obtained under Robin boundary condition. |
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| Keywords: | damped term nonlinear diffusion coefficient hyperbolic partial differential equations oscillation |
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