<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Noether’s theorems of variable mass systems on time scales

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Noether\u2019s theorems of variable mass systems on time scales"}

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...

Noether’s theorems of variable mass systems on time scales

Published Online: Oct 03, 2018

Page range: 229 - 240

Received: Apr 12, 2018

Accepted: May 29, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00017

Keywords
variable mass system, Noether’s theorem, time scale

© 2018 Wu Yan and Fu Jing-Li, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Noether’s theorems of variable mass systems on time scales

Published Online: Oct 03, 2018

Page range: 229 - 240

Received: Apr 12, 2018

Accepted: May 29, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00017

Keywordsvariable mass system, Noether’s theorem, time scale

© 2018 Wu Yan and Fu Jing-Li, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
variable mass system, Noether’s theorem, time scale