| 一类具有强阻尼项的二阶偏微分方程组解的振动性 |
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| 引用本文： | 蔡江涛,罗李平,杨柳.一类具有强阻尼项的二阶偏微分方程组解的振动性[J].大学数学,2011,27(2):68-71. |
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| 作者姓名： | 蔡江涛 罗李平 杨柳 |
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| 作者单位： | 衡阳师范学院数学系; |
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| 基金项目： | 湖南省自然科学基金资助项目(06JJ5001); 湖南省教育厅计划项目(10C0490) |
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| 摘 要： | 研究一类具有强阻尼项的二阶时滞偏微分方程组解的振动性,通过利用Riccati变换、引入参数函数,获得该类方程组在Robin,Dirichlet边值条件下振动的充分判据.
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| 关 键 词： | 阻尼项 偏微分方程组 振动性 |
Oscillation of Solutions to a Class of Second Order Partial Differential Equation Systems with Strongly Damping Terms |
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| CAI Jiang-tao,LUO Li-ping,YANG Liu.Oscillation of Solutions to a Class of Second Order Partial Differential Equation Systems with Strongly Damping Terms[J].College Mathematics,2011,27(2):68-71. |
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| Authors: | CAI Jiang-tao LUO Li-ping YANG Liu |
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| Institution: | CAI Jiang-tao,LUO Li-ping,YANG Liu(Dept.of Math.,Hengyang Normal University,Hengyang 421008,China) |
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| Abstract: | Oscillatory properties of solutions to a class of second order partial differential equation systems with strongly damping terms were studied.Some criteria of sufficient conditions for the oscillation of all solutions of the systems were obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing parameter function. |
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| Keywords: | damping term systems of partial differential equations oscillation |
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