Mathematics, Informatics, Physics: Science and Education

Scientific journal

Vol. 1 No. 2 (2024)
Actual problems of mathematics

A class of Galilean invariant systems of ordinary differential equations of the second order

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  • Oleksandr Tymoshenko,
  • Ivanna Leonova
Oleksandr Tymoshenko
Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University
Bio
Ivanna Leonova
Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University
Bio

Published 2024-10-17

Keywords

  • Lie algebra, Galilean algebra, invariant systems, differential equations

Copyright (c) 2024 Олександр Тимошенко, Іванна Леонова

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

A class of Galilean invariant systems of ordinary differential equations of the second order. (2024). Mathematics, Informatics, Physics: Science and Education, 1(2), 111-119. https://doi.org/10.31652/3041-1955/2024-01-02-02
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Abstract

The article is devoted to the construction of a class of Galilean invariant systems of ordinary differential equations of the second order. For this, a symmetric analysis of the Newton-Lorentz equation was used, and based on the invariance of this equation, a class of systems of differential equations was constructed, a partial case of which is the Newton-Lorentz equation, which is invariant with respect to the Galilean algebra.

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