| 耦合非线性双曲型方程组的有限维逼近解 |
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| 引用本文： | 李炳杰,王素明,冀礼鹏.耦合非线性双曲型方程组的有限维逼近解[J].宝鸡文理学院学报(自然科学版),2000,20(4):255-257. |
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| 作者姓名： | 李炳杰 王素明 冀礼鹏 |
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| 作者单位： | 1. 空军工程大学,电讯工程学院,基础部,陕西,西安,710077
2. 陕西工运学院,教研部,陕西,西安,710006 |
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| 摘 要： | 以Ｌａｐｌａｃｅ算子在Ｄｉｒｉｃｈｌｅｔ条件下的特征值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。
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| 关 键 词： | 特征值序列 近似逼近解 耦合非线性双曲型方程组 一致收敛性 初值问题 |
Finite dimension approximating solution for coupling nonlinear system of hyperbolic equation |
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| LI Bing-jie,WANG Su-ming,JI Li-peng.Finite dimension approximating solution for coupling nonlinear system of hyperbolic equation[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2000,20(4):255-257. |
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| Authors: | LI Bing-jie WANG Su-ming JI Li-peng |
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| Institution: | LI Bing jie 1,WANG Su ming 2,JI Li peng 1 |
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| Abstract: | The finite dimension approximating solution for initial boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.Therefore,the uniform convergence of approximating solution is proved. |
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| Keywords: | characteristic value sequence approximating solution Sobolev space |
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