Differential relations in the inverse kinematic problem

被引：1
|
作者：
Neshchadim, M. V. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
DOKLADY MATHEMATICS | 2009年 / 79卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
INTEGRAL GEOMETRY;
D O I：
10.1134/S1064562409010220
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A study was conducted to investigate differential relations in the inverse kinematic problem. The uniqueness and stability of the solution to this problem and to a problem of integral geometry related to the inverse kinematic problem was proved. Differential expressions containing the solution λ(x) were estimated in terms of differential relations between the initial data, introducing a constructive element in investigating the problem. The inverse kinematic problem investigated in the study was stated as the value of the function w(y, z) at any points y and z of the sphere ∂ω.
引用
收藏
页码：76 / 78
页数：3
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