Solution of a nonlinear system of second kind Lagrange's equations by fixed-point method

被引：0
|
作者：
Georgiev, Ljubomir [1 ]
Kostov, Konstantin [2 ]
机构：
[1] UMG St I Rilski, Dept Math, Sofia 1700, Bulgaria
[2] UMG St I Rilski, Dept Electrotech, Sofia 1700, Bulgaria
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2011年 / 56卷 / 03期
关键词：
Fixed point; Lagrange's equations; differential equations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The effect of forces acting upon a ferromagnetic rotational ellipsoid located in a homogeneous rotating magnetic field is considered. Lagrange's equations of the second kind connecting the motion parameters of a particle with torques acting upon it are composed. A non-homogeneous nonlinear autonomous system of second-order differential equations is obtained. That system is not solvable by quadrature. A solution by fixed-point method is proposed in this paper.
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页码：105 / 112
页数：8
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