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

共 50 条

[41] The Application of the Fixed-point Theory in Jacketed Solution of Singularly Perturbed Nonlinear Problem
CHENG Yan (Department of Basic Course
数学季刊, 2003, (01) : 103 - 107
[42] AN OPTIMAL BALL ALGORITHM FOR FIXED-POINT EQUATIONS
XU, ZB
SHI, XZ
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1994, 50 (3-4) : 183 - 195
[43] A Fixed-point Theorem for Horn Formula Equations
Hetzl, Stefan
Kloibhofer, Johannes
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2021, (344): : 65 - 78
[44] An extension of Sadovskii's fixed-point theorem with applications to integral equations
Khandani, Hassan
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
[45] Numerical solution of nonlinear oscillatory differential equations using shifted second kind Chebyshev wavelet method
Rani, Mamta
Manchanda, Pammy
Italian Journal of Pure and Applied Mathematics, 2020, 44 : 188 - 197
[46] Rich Type Iterative Method for Numerical Solution of Nonlinear Fuzzy Fredholm Integral Equations of Second Kind
Ezzati, Reza
Mahaleh, Vahid Samadpour Khalifeh
2018 6TH IRANIAN JOINT CONGRESS ON FUZZY AND INTELLIGENT SYSTEMS (CFIS), 2018, : 23 - 26
[47] Numerical solution of nonlinear oscillatory differential equations using shifted second kind Chebyshev wavelet method
Rani, Mamta
Manchanda, Pammy
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 188 - 197
[48] Sequential iteration of the Erlang fixed-point equations
Hart, AG
Martínez, S
INFORMATION PROCESSING LETTERS, 2002, 81 (06) : 319 - 325
[49] An extension of Sadovskii’s fixed-point theorem with applications to integral equations
Hassan Khandani
Journal of Fixed Point Theory and Applications, 2018, 20
[50] Fixed-point Theorem and the Nishida-Nirenberg Method in Solving Certain Nonlinear Singular Partial Differential Equations
Lope, Jose Ernie C.
Caga-Anan, Randy L.
SCIENCE DILIMAN, 2013, 25 (02) : 34 - 50

← 1 2 3 4 5 →