节点文献
确定双曲型方程未知系数的反问题(英文)
The Inverse Problem of Determining the Unknown Function for Hyperbolic Equation
【摘要】 本文在有界区域上讨论了一维线性双曲型方程的初边值问题。其中α12+β12≠0,i=1,2,由给定的平行附加条件u(X,t)=f3(X),确定未知函数r(x)的反问题,得到了反问题解的存在性和唯一性。
【Abstract】 In this paper, the inverse problem of determining the unknown function r(x) under the given parallel additional condition u(x,t)=f,(x) in the initial-boundary value problem for one-dimension linear hyperbolic equation where αi2+αi2≠0, i=1, 2 is discussed on the bounded ? = (0,1)×(0,T), the existence and uniqueness of solution for the inverse problem are obtained.
- 【文献出处】 东莞理工学院学报 ,Journal of Dongguan Institute of Technology , 编辑部邮箱 ,2005年01期
- 【分类号】O175.27
- 【下载频次】60