Electron. J. Diff. Equ., Vol. 2013 (2013), No. 50, pp. 1-13.

Uniqueness of solutions to matrix equations on time scales

Atiya H. Zaidi

Abstract:
In this article we establish the uniqueness of solutions to first-order matrix dynamic equations on time scales. These results extend the results presented in [16], to more complex systems of nXn matrices. Following the ideas in [5, Chap 5], we identify Lipschitz conditions that are suitable for generalizing nXn models on time scales.

Submitted November 14, 2012. Published February 18, 2013.
Math Subject Classifications: 34N05, 26E70, 39B42, 39A12.
Key Words: Matrix equations; matrix dynamic equations; first order dynamic equations; time scales.

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Atiya H. Zaidi
School of Mathematics and Statistics
The University of New South Wales
Sydney NSW 2052, Australia
email: a.zaidi@unsw.edu.au

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