| 一类耦合非线性波动方程全局解的存在性 |
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| 引用本文： | 逯丽清,李胜家.一类耦合非线性波动方程全局解的存在性[J].数学的实践与认识,2010,40(23). |
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| 作者姓名： | 逯丽清 李胜家 |
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| 摘 要： | 利用微分不等式和解的延拓原理,研究了一类带非线性阻尼和源项的耦合非线性波动方程,通过分析方程中参数的关系,得到了全局解存在的一些新的充分条件.
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| 关 键 词： | 非线性波动方程 初边值问题 全局解 |
Global Existence of a Solution for a Coupled Nonlinear Wave Equation |
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| LU Li-ging,LI Sheng-jia.Global Existence of a Solution for a Coupled Nonlinear Wave Equation[J].Mathematics in Practice and Theory,2010,40(23). |
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| Authors: | LU Li-ging LI Sheng-jia |
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| Abstract: | By using differential inequality and continuation principle,a coupled nonlinear wave equation with nonlinear damping and source terms was studied.By analyzing the parameters of the equation,some new sufficient condition for global existence is obtained. |
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| Keywords: | nonlinear wave equation initial boundary value problem global solution |
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