Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503227 | Journal of Mathematical Analysis and Applications | 2005 | 7 Pages |
Abstract
We present a new proof of the Liouville formula for a d-dimensional linear dynamic system xÎ=A(t)x on a time scale T, where T is in a sense small. Our proof demonstrates that Liouville's formula on small time scales is a direct consequence of its well-known counterpart for ordinary differential equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ladislav Adamec,