[
[1] L. E. Biriş, T. Ceauşu, C. L. Mihiţ, On uniform exponential splitting of variational nonautonomous difference equations in Banach spaces, Difference equations, discrete dynamical systems and applications, 199–213, Springer Proc. Math. Stat., 287, Springer, Cham, 2019.10.1007/978-3-030-20016-9_7
]Search in Google Scholar
[
[2] L. Biriş, M. Megan, On a concept of exponential dichotomy for cocycles of linear operators in Banach spaces, Bull. Math. Soc. Sci. Math. Roumanie 59 (107), No. 3 (2016), 217–223.
]Search in Google Scholar
[
[3] R. Boruga (Toma), M. Megan, Datko type characterizations for nonuniform polynomial dichotomy, Carpathian J. Math. 37 (1), (2021), 45–51.10.37193/CJM.2021.01.05
]Search in Google Scholar
[
[4] D. Dragičević, A. L. Sasu, B. Sasu, On polynomial dichotomies of discrete nonautonomous systems on the half-line, Carpathian J. Math. 38 (2022), 663–680.10.37193/CJM.2022.03.12
]Search in Google Scholar
[
[5] A. Găină, M. Megan, C. F. Popa, Uniform dichotomy concepts for discrete-time skew evolution cocycles in Banach spaces, Mathematics 2021, 9, 2177.10.3390/math9172177
]Search in Google Scholar
[
[6] M. I. Kovacs, M. Megan, C. L. Mihiţ, On (h, k) - dichotomy and (h, k) - trichotomy of noninvertible evolution operators in Banach spaces, An. Univ. Vest Timiş. Ser. Mat.-Inform. 52 (2) (2014), 127–143.10.2478/awutm-2014-0015
]Search in Google Scholar
[
[7] N. Lupa, A new approach of Datko-Zabczyk method for nonuniform exponential stability, Mathematics 2020, 8, 1095.10.3390/math8071095
]Search in Google Scholar
[
[8] M. Megan, B. Sasu, A. L. Sasu, On nonuniform exponential dichotomy of evolution operators in Banach spaces, Integral Equations Operator Theory 44 (2002), 71–78.10.1007/BF01197861
]Search in Google Scholar
[
[9] M. Megan, C. Stoica, Discrete asymptotic behaviors for skew-evolution semiflows on Banach spaces, Carpathian J. Math. 24 (3), (2008), 348–355.
]Search in Google Scholar
[
[10] M. Megan, C. Stoica, Concepts of dichotomy for skew-evolution semiflows in Banach spaces, Ann. Acad. Rom. Sci. Ser. Math. Appl. 2 (2), (2010), 125–140.
]Search in Google Scholar
[
[11] C. L. Mihiţ, On uniform polynomial trichotomy of skew-evolution semiflows, Carpathian J. Math. 38 (3) (2022), 811–818.10.37193/CJM.2022.03.24
]Search in Google Scholar
[
[12] C. L. Mihiţ, M. Megan, T. Ceauşu, The equivalence of Datko and Lyapunov properties for (h, k)-trichotomic linear discrete-time systems, Discrete Dyn. Nat. Soc. 2016, Art. ID 3760262, 8 pp.10.1155/2016/3760262
]Search in Google Scholar
[
[13] C. L. Mihiţ, M. Lăpădat, Discrete criteria for the uniform (h, k)-splitting of skew-evolution semiflows, AIP Conf. Proceedings, vol. 1978 (2018), Article No. 390011-1, 1–4.10.1063/1.5043995
]Search in Google Scholar
[
[14] K. M. Przyluski, S. Rolewicz, On stability of linear time-varying infinite-dimensional discrete-time systems, Systems Control Lett. 4 (1984), 307–315.10.1016/S0167-6911(84)80042-0
]Search in Google Scholar
[
[15] A. L. Sasu, M. Megan, B. Sasu, On Rolewicz-Zabczyk techniques in the stability theory of dynamical systems, Fixed Point Theory 13 (2012), 205–236.
]Search in Google Scholar
[
[16] A. L. Sasu, B. Sasu, A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems, Appl. Math. Comput. 245 (2014), 447–461.10.1016/j.amc.2014.07.108
]Search in Google Scholar
[
[17] A. L. Sasu, B. Sasu, Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line, Appl. Math. Comput. 378 (2020), Article ID 125167.10.1016/j.amc.2020.125167
]Search in Google Scholar
[
[18] B. Sasu, On exponential dichotomy of variational difference equations, Discrete Dyn. Nat. Soc. 2009, Art. ID 324273, 18 pp.10.1155/2009/324273
]Search in Google Scholar
[
[19] B. Sasu, A. L. Sasu, On the dichotomic behavior of discrete dynamical systems on the half-line, Discrete Contin. Dyn. Syst. 33 (7), (2013), 3057–3084.10.3934/dcds.2013.33.3057
]Search in Google Scholar
[
[20] C. Stoica, Approaching the discrete dynamical systems by means of skew-evolution semi-flows, Discrete Dyn. Nat. Soc. 2016, Art. ID 4375069, 10 pp.10.1155/2016/4375069
]Search in Google Scholar
[
[21] J. Zabczyk, Remarks on the control of discrete-time distributed parameter systems, SIAM J. Control Optim. 12 (1974), 721–735.10.1137/0312056
]Search in Google Scholar
[
[22] L. Zhou, K. Lu, W. Zhang, Equivalences between nonuniform exponential dichotomy and admissibility, J. Differential Equations 262 (2017), 682–747.10.1016/j.jde.2016.09.035
]Search in Google Scholar
[
[23] L. Zhou, W. Zhang, Admissibility and roughness of nonuniform exponential dichotomies for difference equations, J. Funct. Anal. 271 (2016), 1087–1129.10.1016/j.jfa.2016.06.005
]Search in Google Scholar