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The exponential of a constant matrix on time scales

Published online by Cambridge University Press:  17 February 2009

A. Zafer
Affiliation:
Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey; e-mail:[email protected].
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Abstract

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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.

Type
Research Article
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) 1856.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) 703705.CrossRefGoogle Scholar
[7]Leonard, I. E., “The matrix exponential“, SIAM Rev. 38 (1996) 507512.CrossRefGoogle Scholar