On the linearization theorem for nonautonomous differential equations

Chu, 2013, Robustness of nonuniform behavior for discrete dynamics, Bull. Sci. Math., 137, 1031, 10.1016/j.bulsci.2013.03.003

Coppel, 1978, Dichotomies in Stability Theory, vol. 629

Fenner, 1999, On a Hartman linearization theorem for a class of ODE with impulse effect, Nonlinear Anal., 38, 307, 10.1016/S0362-546X(98)00198-9

Hartman, 1963, On the local linearization of differential equations, Proc. Am. Math. Soc., 14, 568, 10.1090/S0002-9939-1963-0152718-3

Grobman, 1959, Homeomorphism of systems of differential equations, Dokl. Akad. Nauk SSSR, 128, 880

Jiang, 2006, Generalized exponential dichotomy and global linearization, J. Math. Anal. Appl., 315, 474, 10.1016/j.jmaa.2005.05.042

Lu, 1991, A Hartman–Grobman theorem for scalar reaction–diffusion equations, J. Differ. Equ., 93, 364, 10.1016/0022-0396(91)90017-4

Pugh, 1969, On a theorem of P. Hartman, Am. J. Math., 91, 363, 10.2307/2373513

Reinfelds, 1985, A generalized theorem of Grobman and Hartman, Latv. Mat. Ezheg., 29, 84

Reinfelds, 1992, Equivalence of nonlinear differential equations with impulse effect in Banach space, Latv. Univ. Zināt. Raksti, 577, 68

Sermone, 1994, Equivalence of linear differential equations with impulse effect, Proc. Latv. Acad. Sci. Sect. B, 559, 78

Shi, 2003

Zhang, 1995, The Fredholm alternative and exponential dichotomies for parabolic equations, J. Math. Anal. Appl., 191, 180, 10.1016/S0022-247X(85)71126-2