| 一类广义RLW方程的初边值问题 |
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| 引用本文： | 孟红丽,张能伟.一类广义RLW方程的初边值问题[J].新乡学院学报(自然科学版),2011,28(1):9-10,13. |
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| 作者姓名： | 孟红丽 张能伟 |
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| 作者单位： | 孟红丽,MENG Hong-li(郑州大学,数学系,郑州,450000;安阳工学院,数理系,河南,安阳,455000);张能伟,ZHANG Neng-wei(安阳师范学院,数学与统计学院,河南,安阳,455002) |
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| 摘 要： | 考虑了一类广义RLW方程ut-u xxt＋p（u）x=f（u x）x＋g（u）＋γuxx的初边值问题,在f、g、p及初值u 0满足一定条件下,用压缩映射原理得到了该问题局部广义解的存在唯一性,并给出解的延拓条件。
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| 关 键 词： | RLW方程 压缩映射原理 局部广义解 |
The Exact Solutions of a Class of RLW Equations |
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| Authors: | MENG Hong-li ZHANG Neng-wei |
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| Institution: | 1.Department of Mathematics,Zhengzhou University,Zhengzhou 450000,China; 2.Department of Mathematics and Physics,Anyang Institute of Technology,Anyang 455000,China;3.School of Mathematics and Statistics,Anyang Normal University,Anyang 455002;China) |
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| Abstract: | In this paper,the initial boundary value problem for the generalized RLW equation is considered.If,,and initial value meet some conditions,the existence and uniqueness of the local solution to the Initial Value problem are obtained by contraction mapping principle. |
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| Keywords: | RLW equation contraction mapping principle local general solution |
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