Abstract:

We studied Massera type of criteria for linear differential systems on time scales. Using variation of constant formula, we proved the necessary and sufficient condition for the Massera type of criteria for linear differential systems on time scales y^Δ=A(t)y+f(t) to possess ωperiodic solutions is the existence of a bounded solution.

Key words: time scales, linear differential systems, variation of constants formula, periodic solution, bounded solution, Massera type of criteria