The Lie Brackets on Time Scales
Articles > Article · 2012
Authors: H. Kusak, Süleyman Ayhan ÇALIŞKAN
Abstract and Applied Analysis, International, WoS, 2012, vol 2012
DOI: 10.1155/2012/303706
Summary
The Lie derivative, which has a wide range of application in physics and geometry, is trying to be examined on time scales. Firstly, nabla Lie bracket is defined on two‐dimensional time scales. Secondly, the nabla Lie multiplication and some properties are given on the time scales. Lastly, for analyzing the differences between the real Lie multiplication and the nabla Lie multiplication, a numerical example is given.