在这份报纸,我们为线性方程 = 学习在指数的两分和二次的 Lyapunov 功能之间的关系(t) 准时 scales.Moreover 非线性的使不安的方程 = A (t)+ f (t,) 当 f 是足够地小的时,我们给零个解决方案的不稳定性。
In this paper, we study the relationship between exponential dichotomy and quadratic Lyapunov function for the linear equation x△=A(t)x on time scales. Moreover, for the nonlinear perturbed equation x△= A(t)x + f(t, x) we give the instability of the zero solution when f is sufficiently small.