Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419010 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
In this paper, the divergence theorem is proved by the Kurzweil-Henstock approach. The physical definition of the divergence of a vector field is used, instead of the usual definition used in mathematics papers. Sufficient conditions for the existence of the divergence of a vector field on n-dimensional manifolds in Rn are given. Concepts of strong differentiability are used in the sufficient conditions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Varayu Boonpogkrong, Tuan Seng Chew, Peng Yee Lee,