References
- [1] B. Aulbach, J. Kalkbrenner, Exponential forward splitting for noninvertible difference equation, Comput. Math. Appl.42 (2001), 743-754.
- [2] L. Barreira, C. Valls, Noninvertible cocycles: robustness and exponential dichotomies, Discrete and Continuous Dynamical Systems32 (2012), 4111-4131.
- [3] L.E. Biriş, T. Ceauşu, C.L. Mihiţ, On uniform exponential splitting of variational nonautonomous difference equations in Banach spaces, Recent Progress in Difference Equations, Discrete Dynamical Systems and Applications, submitted.
- [4] L.E. Biriş, T. Ceauşu, C.L. Mihiţ, I.-L. Popa, Uniform Exponential Trisplitting - A New Criterion for Discrete Skew-Product Semiflows, Electron. J. Qual. Theory Differ. Equ.2019, No. 70 (2019), 1-22.
- [5] L. Biriş, M. Megan, On a concept of exponential dichotomy for co-cycles of linear operators in Banach spaces, Bull. Math. Soc. Sci. Math. Roumanie, 59 (107), No. 3 (2016), 217-223.
- [6] L.E. Biriş, R. Retezan, On exponential trichotomy of cocycles over semiflows, An. Univ. Vest Timiş. Ser. Mat.-Inform., LII, 1 (2014), 17-27.
- [7] C. Chicone, Y. Latushkin, Evolution Semigroups in Dynamical Systems and Differential Equations, Mathematical surveys and monographs Vol. 70, Amer. Math. Soc., 1999.
- [8] S.N. Chow, H. Leiva, Two definitions of exponential dichotomy for skew-product semiflows in Banach spaces, Proc. Amer. Math. Sc.124 (1996), 1071-1081.
- [9] P.E. Kloeden, M. Rasmusen, Nonautonomous Dynamical Systems, American Mathematical Society, Mathematical surveys and monographs Vol. 176, Amer. Math. Soc., 2011.
- [10] N.T. Huy, Existence and robustness of exponential dichotomy of linear skew-product semiflows over semiflows, J. Math. Anal. Appl.333 (2007), 731-752.
- [11] Y. Latushkin, S. Montgomery-Smith, T. Randolph, Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers, J. Differential Equations125 (1996), 73-116.
- [12] Y. Latushkin, R. Schnaubelt, Evolution semigroups, translation algebras and exponential dichotomy of cocycles, J. Differential Equations159 (1999), 321-369.
- [13] M. Megan, I.-L. Popa, Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces, J. Comput. Appl. Math.312 (2017), 181–191.
- [14] C. Pötzsche, Geometric Theory of Discrete Nonautonomous Dynamical Systems, Springer, 2010.
- [15] M. Megan, B. Sasu, A.L. Sasu, Theorems of Perron type for uniform exponential dichotomy of linear skew-product semiflows, Bull. Belg. Math. Soc. Simon Stevin10 (2003), 143-154.
- [16] M. Megan, C. Stoica, L. Buliga, Trichotomy for linear skew-product semiflows, in: Applied Analysis and Differential Equations, World. Sci. Publ. Hackensak, N.J., 2007, 227-236.
- [17] M. Megan, C. Stoica, L. Buliga, On asymptotic behaviour for linear skew-evolution semiflows in Banach spaces, Carpathian Journal of Mathematics, 23, No. 1-2 (2007), 117-125.
- [18] M. Megan, C. Stoica, Concepts of dichotomy for skew-evolution semi-flows on Banach spaces, Annals of the Academy of the Romanian Scientists, Series on Mathematics and Applications2 (2010), 125-140.
- [19] C.L. Mihiţ, C.S. Stoica, M. Megan, On uniform exponential splitting for noninvertible evolution operators in Banach spaces, An. Univ. Vest Timiş. Ser. Mat.-Inform.LIII, 2 (2015), 121-131.
- [20] R.J. Sacker, G.R. Sell, Existence of dichotomies and invariant splittings for linear differential systems I, J. Differential Equations15 (1974), 429-458.
- [21] R.J. Sacker, G.R. Sell, Dichotomies for linear evolutionary equations in Banach spaces, J. Differential Equations113 (1994), 17-67.
- [22] A.L. Sasu, B. Sasu, Admissibility and exponential trichotomy of dynamical systems described by skew-product flows, J. Differential Equations260 (2016), 1656-1689.