Uniqueness of solutions to matrix equations on time scales

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.

Keywords

• Matrix equations
• matrix dynamic equations
• first order dynamic equations
• time scales