Kent State University, Stark Campus, 6000 Frank Ave. NW, Canton, OH44720-7599, USA. E-mail: ghovhann@kent.edu
AMS subject classification: 34A45, 39A11.
We prove asymptotical stability and instability theorems for 2 × 2 system of first-order linear dynamic equations on a time scale with complex-valued functions as coefficients. To prove stability estimates and asymptotic stability for a 2 × 2 system we use the integral representations of the fundamental matrix via asymptotic solutions, the error estimates, and the time scales calculus.
Asymptotic stability, linear dynamic equations on time scales, asymptotic solutions, integral representations, first-order systems of differential and difference equations.
