LaSalle stationary oscillation theorem for affine periodic dynamic systems on time scales

Abstract

Abstract In this paper, for affine periodic systems on time scales, we establish LaSalle stationary oscillation theorem to obtain the existence and asymptotic stability of affine periodic solutions on time scales. As applications, we present the existence and asymptotic stability of affine periodic solutions on time scales via Lyapunov’s method.

Keywords

• Time scales
• Affine periodic solution
• LaSalle stationary oscillation theorem
• Lyapunov’s method
• Nonlinear dynamic equations