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

页码：76 / 78

页数：3

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