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.

引用

页码：105 / 112

页数：8

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