Pugh's global linearization for the nonautonomous unbounded system with $\hat{I}¼$-dichotomy via Lyapunov theory

Weijie Lu, Yonghui Xia

The classical global linearization theorem for autonomous system given in [C. Pugh, Amer. J. Math., 91 (1969) 363-367] requires that nonlinear system with hyperbolicity satisfies b…