@Article{CMR-27-1,
author = {Zhang, Ji and Zhenxin, Liu},
title = {Quadratic Lyapunov Function and Exponential Dichotomy on Time Scales},
journal = {Communications in Mathematical Research },
year = {2011},
volume = {27},
number = {1},
pages = {24--36},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/2011-CMR-19110},
url = {https://global-sci.com/article/81859/quadratic-lyapunov-function-and-exponential-dichotomy-on-time-scales}
}