On the topological classification of dynamic equations on time scales

Hilger, 1990, Analysis on measure chains—a unified approach to continuous and discrete calculus, Results Math., 18, 19, 10.1007/BF03323153 Aulbach, 1990, Linear dynamic processes with inhomogeneous time scale Lakshmikantham, 1996 Agarwal, 1999, Basic calculus on time scales and some of its applications, Results Math., 35, 3, 10.1007/BF03322019 Bohner, 2001 Agarwal, 2002, Dynamic equations on time scales: a survey, J. Comput. Appl. Math., 141, 1, 10.1016/S0377-0427(01)00432-0 Bohner, 2003 Grobman, 1959, Homeomorphism of systems of differential equations, Dokl. Akad. Nauk SSSR, 128, 880 Hartman, 1960, On the local homeomorphism of euclidean spaces, Bol. Soc. Mat. Mexicana, 5, 220 Grobman, 1962, Topological classification of neighborhoods of a singularity in n-space, Mat. Sb. (N.S.), 56, 77 Hartman, 1963, On the local linearization of differential equations, Proc. Amer. Math. Soc., 14, 568, 10.1090/S0002-9939-1963-0152718-3 Palmer, 1973, A generalization of Hartman’s linearization theorem, J. Math. Anal. Appl., 41, 753, 10.1016/0022-247X(73)90245-X Kirchgraber, 1991 Jiang, 2007, Strongly topological linearization with generalized exponential dichotomy, Nonlinear Anal., 67, 1102, 10.1016/j.na.2006.06.054 Shi, 2003 Hilger, 1996, Generalized theorem of Hartman–Grobman on measure chains, J. Aust. Math. Soc. Ser. A, 60, 157, 10.1017/S1446788700037587 Xia, 2007, A new analytical method for the linearization of dynamic equation on measure chains, J. Differential Equations, 235, 527, 10.1016/j.jde.2007.01.004 Pötzsche, 2008, Topological decoupling, linearization and perturbation on inhomogeneous time scales, J. Differential Equations, 245, 1210, 10.1016/j.jde.2008.06.011 Kaymakcalan, 1992, Lyapunov stability theory for dynamic systems on time scales, J. Appl. Math. Stoch. Anal., 5, 275, 10.1155/S1048953392000224 Kaymakcalan, 1993, Existence and comparison results for dynamic systems on time scale, J. Math. Anal. Appl., 192, 243, 10.1006/jmaa.1993.1021 DaCunha, 2005, Stability for time varying linear dynamic systems on time scales, J. Comput. Appl. Math., 176, 381, 10.1016/j.cam.2004.07.026 DaCunha, 2007, Instability results for slowly time varying linear dynamic systems on time scales, J. Math. Anal. Appl., 328, 1278, 10.1016/j.jmaa.2006.06.045 Ou, 2008, Stability analysis for dynamic equations on time scales, Acta Math. Sci. Ser. A Chin. Ed., 28, 308 C. Pötzsche, Langsame Faserbündel Dynamischer Gleichungen auf Maßketten, Ph.D. Thesis, Logos Verlag, Berlin, 2002. Coppel, 1978