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A remark on Liouville's formula on small time scales

Name: A remark on Liouville's formula on small time scales
Keywords: Unification of difference and differential calculus, Liouville's formula, Applied Mathematics, time scale, Time scales, Analysis

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2005 Czech Republic Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 304, pages 504-510 (issn: 0022-247X,

Authors: Ladislav Adamec; Ladislav Adamec;

doi: 10.1016/j.jmaa.2004.09.041

handle: 11104/0116276

A remark on Liouville's formula on small time scales

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Abstract

AbstractWe present a new proof of the Liouville formula for a d-dimensional linear dynamic system xΔ=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.

Country

Czech Republic

Related Organizations

Academy of Sciences Library
Czech Republic
Czech Academy of Sciences
Czech Republic
Masaryk University
Czech Republic

Keywords

Unification of difference and differential calculus, Liouville's formula, Applied Mathematics, time scale, Time scales, Analysis

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