| 具有Lipschitz连续系数的Kirchhoff方程 |
| |
| 引用本文： | 陈冬贵.具有Lipschitz连续系数的Kirchhoff方程[J].数学学报,1998,41(2):337-346. |
| |
| 作者姓名： | 陈冬贵 |
| |
| 作者单位： | 岳阳师范专科学校数学系 |
| |
| 基金项目： | 湖南省高等学校科研基金 |
| |
| 摘 要： | 作者考虑了一个非局部项仅为Ｌｉｐｓｃｈｉｔｚ连续函数的非齐次Ｋｉｒｃｈｈｏｆ方程的Ｃａｕｃｈｙ问题．在初值和右端项“小”的条件下，我们获得了此问题整体解的存在唯一性．
|
| 关 键 词： | 拟线性双曲型方程，Kirchhoff方程，Lipschitz连续，整体解 |
| 收稿时间： | 1996-10-21 |
| 修稿时间： | 1997-4-7 |
Kirchhoff Equation with Lipschitz Continuous Coefficient |
| |
| Chen Donggui.Kirchhoff Equation with Lipschitz Continuous Coefficient[J].Acta Mathematica Sinica,1998,41(2):337-346. |
| |
| Authors: | Chen Donggui |
| |
| Institution: | Chen Donggui ( Department of Mathematics, Yueyang Teachers’ College, Yueyang 414000, China ) |
| |
| Abstract: | In this paper, we consider the Cauchy problem for a inhomogeneous Kirchhoff equation which the nonlocal term is merely locally Lipschitz continuous function. Under the assumption that the initial datas and right-hand side are “small” enough, we obtain the existence and uniqueness of global solution. |
| |
| Keywords: | Quasilinear hyperbolic equation Kirchhoff equation Lipschitz continuous Global solution |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
