On the linearization theorem of Fenner and Pinto
Tài liệu tham khảo
Hartman, 1963, On the local linearization of differential equations, Proc. Amer. Math. Soc., 14, 568, 10.1090/S0002-9939-1963-0152718-3
Grobman, 1962, The topological classification of the vicinity of a singular point in n-dimensional space, Math. USSR-Sb., 56, 363
Reinfelds, 1985, A generalized theorem of Grobman and Hartman, Latv. Mat. Ezhegodnik, 29, 84
Palmer, 1973, A generalization of Hartman’s linearization theorem, J. Math. Anal. Appl., 41, 753, 10.1016/0022-247X(73)90245-X
Barreira, 2007, Hölder Grobman–Hartman linearization, Discrete Contin. Dyn. Syst., 18, 187, 10.3934/dcds.2007.18.187
Barreira, 2006, A Grobman–Hartman theorem for nonuniformly hyperbolic dynamics, J. Funct. Anal., 228, 285
Shi, 2003
Jiang, 2011, A generalization of Palmer’s linearization theorem, Math. Appl., 24, 150
Stamova, 2009
Lakshmikhantham, 1989
Bainov, 1995
Bainov, 1995
Samoilenko, 1995
Fu, 2008
Reinfelds, 1997, Dynamical equivalence of impulsive differential equations, Nonlinear Anal., 30, 2743, 10.1016/S0362-546X(97)00171-5
Reinfelds, 1997, Decoupling of impulsive differential equations, Math. Model. Anal., 2, 130, 10.3846/13926292.1997.9637076
Reinfelds, 1996, A reduction theorem for systems of differential equations with impulse effect in a Banach space, J. Math. Anal. Appl., 203, 187, 10.1006/jmaa.1996.0374
Reinfelds, 1990, Equivalence of differential equations with impulse action, Latv. Univ. Zināt. Raksti, 553, 124
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
Sermone, 1997, Reduction of differentiable equations with impulse effect, J. Appl. Math. Stoch. Anal., 10, 79, 10.1155/S1048953397000087
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
Fenner, 1997, On (h,k) manifolds with asymptotic phase, J. Math. Anal. Appl., 216, 549, 10.1006/jmaa.1997.5684
Fenner, 1997, On (h,k)-trichotomies and asymptotics of non-autonomous difference systems, Comput. Math. Appl., 33, 105, 10.1016/S0898-1221(97)00080-1
Naulín, 1995, Roughness of (h,k)-dichotomies, J. Differential Equations, 118, 20, 10.1006/jdeq.1995.1065
Pinto, 1995, Dichotomies and asymptotic formulas for the solutions of differential equations, J. Math. Anal. Appl., 195, 16, 10.1006/jmaa.1995.1339
Pinto, 1996, Dichotomies for differential systems with impulsive effect, 1181
Pinto, 2010, Dichotomy and existence of periodic solutions of quasilinear functional differential equations, Nonlinear Anal., 72, 1227, 10.1016/j.na.2009.08.007