一维半线性双曲型方程未知源的反问题  

INVERSE PROBLEM OF DETERMINATION OF UNKNOWN SOURCE TERM FOR ONE-DIMENSIONAL HYPERBOLIC HALF-LINEAR EQUATION

作　　者：张莉[1] 吴建成[2] 徐耀群[1] 

机构地区：[1]哈尔滨商业大学基础科学学院,哈尔滨150076 [2]江苏工业学院信息科学系,常州213016

出　　处：《计算数学》2004年第3期329-336,共8页Mathematica Numerica Sinica

基　　金：黑龙江省自然科学基金(No.F0215);黑龙江省青年基金(No.QC03C03)资助项目。

摘　　要：We concern the inverse problem of determination of unknown source term for one-dimensional hyperbolic half-linear equation. Approach form for inverse problem is given by using correlative problem of assistant. We concern more ordinary problem than this paper, which is turned into integral equation with the method of characteristic line. We prove the existence and uniqueness of part solution for inverse problem, and unknown source can be solved bv successive approximation.We concern the inverse problem of determination of unknown source term for one-dimensional hyperbolic half-linear equation. Approach form for inverse problem is given by using correlative problem of assistant. We concern more ordinary problem than this paper, which is turned into integral equation with the method of characteristic line. We prove the existence and uniqueness of part solution for inverse problem, and unknown source can be solved by successive approximation.

关 键 词：偏微分方程 未知源 反问题 半线性双曲型方程 

分 类 号：O241.8[理学—计算数学]