Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 1


Published
on

May 29, 2018


Pages

229-240


DOI

Article

Noether’s theorems of variable mass systems on time scales

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Authors

Wu Yan Affiliation:
Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
and Fu Jing-Li Affiliation:
Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China


Abstract

This paper deals with the Noether’s theory for variable mass system on time scales. The calculus on time scales unifies and extends variable mass system continuous model and discrete model into a single theory. Firstly, Hamilton’s principle of the variable mass system on time scales is given. Secondly, based on the quasi-invariance of the Hamilton’s action under a group of infinitesimal transformations, Noether’s theorem and its inverse theorem of the variable mass system on time scales are presented. Finally, two examples are given to illustrate the applications of the results.


Keywords

variable mass system, Noether’s theorem, time scale, Primary: 46F12, 65R10


Citation

Yan, W. & Jing-Li, F. (2018). Noether’s theorems of variable mass systems on time scales. Applied Mathematics and Nonlinear Sciences, 3(1), 229–240. https://doi.org/10.21042/AMNS.2018.1.00017

Published by: Engineering Journals

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