Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T10:03:56.707Z Has data issue: false hasContentIssue false
  • English
  • Français

The exponential of a constant matrix on time scales

Published online by Cambridge University Press:  17 February 2009

A. Zafer
A. Zafer
Affiliation:
Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey; e-mail:[email protected].
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we describe an elementary method for calculating the matrix exponential on an arbitrary time scale. An example is also given to illustrate the result.

Keywords

time scalematrix exponentiallinear dynamic equation.
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 1 , July 2006 , pp. 99 - 106
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Bohner, M. and Peterson, A., Dynamic Equations on Time Scales (Birkhäuser, Boston, 2001).CrossRefGoogle Scholar
[2]Bohner, M. and Peterson, A., Advances in Dynamic Equations on Time Scales (Birkhäuser, Boston, 2003).CrossRefGoogle Scholar
[3]Hilger, S., “Analysis on measure chains—a unified approach to continuous and discrete calculus”, Results Math. 18 (1990) 18–56.CrossRefGoogle Scholar
[4]Kac, V. and Cheung, P., Quantum Calculus (Springer, New York, 2002).CrossRefGoogle Scholar
[5]Kaymakçalan, B., Lakshmikantham, V. and Sivasundaram, S., Dynamic Systems on Measure Chains (Kluwer, Dordrecht, 1996).Google Scholar
[6]Kwapisz, M., “The power of a matrix”, SIAM Rev. 40 (1998) 703–705.CrossRefGoogle Scholar
[7]Leonard, I. E., “The matrix exponential“, SIAM Rev. 38 (1996) 507–512.CrossRefGoogle Scholar