摘要：In this paper we give a Lyapunov functional characterization of h-stability for nonlinear dynamic systems on time scales under the condition of u ∞ -similarity between their variational systems. Furthermore, we give some examples related to the notions of u ∞ -similarity and h-stability. MSC:34N05, 39A30, 34D23, 34K20, 26E70.
关键词：dynamic system ; variational system ; u ∞ -similarity ; Lyapunov function ; h -stability ; h -stability in variation ; time scales
