On some Concepts of (a; b; c)-Trichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

[1] A. I. Alonso, J. Hong, and R. Obaya, Exponential dichotomy and trichotomy for diference equations, Comp. Math. Appl., 38, (1999), 41-4910.1016/S0898-1221(99)00167-4Search in Google Scholar

[2] M. Babujia, M. Megan, and I. L. Popa, On (h,k)- dichotomy nonautonomous linear difference equations in Banach spaces. International Journal of Differential Equations, (2013), Article ID 76168010.1155/2013/761680Search in Google Scholar

[3] L. Barreira and C. Vails, Robustness of nonuniform exponential trichotomies in Banach spaces, J. Math. Anal. Appi, 351, (2010), 373-38110.1016/j.jmaa.2008.10.030Search in Google Scholar

[4] S. Elaydi and O. Hajek, Exponential dichotomy and trichotomy of nonlinear differential equations, Differential Integral Equations, 3, (1990), 1201-122410.1201/9781482293326Search in Google Scholar

[5] S. Elaydi and K. Janglajew, Dichotomy and trichotomy of difference equations, J. Difference Equ. Appi. 3, (1998), 417-44810.1080/10236199708808113Search in Google Scholar

[6] M. Lăpădat, Trichotomy for abstract evolution operators, Bui. Stiint. Univ. Politeh. Timis., Series of Mathematical-Physics, 59, (2014)Search in Google Scholar

[7] L. Biriş and R.L. Lolea, On exponential trichotomy of cocycles in Banach spaces, Analele Univ. Timisoara, to appearSearch in Google Scholar

[8] I. Lopez-Fenner and M. Pinto, (h,k)-trichotomies and asymptotics of nonautonomous differential equations, Computers. Math. Appi, 33, (1997), 105-12410.1016/S0898-1221(97)00080-1Search in Google Scholar

[9] N. Lupa and M. Megan, Generalized exponential trichotomies for abstract evolution operators on the real line, J. Fund. Space. Appi, (2013), Article ID 40904910.1155/2013/409049Search in Google Scholar

[10] M. Megan and L. Buliga, Nonuniform exponential trichotomy for difference equations in Banach space, Hot Topics in Operator Theory, Theta Ser. Adv. Math., 9, (2008). 145 - 150Search in Google Scholar

[11] G. Papaschinopoulos, On exponential trichotomy of linear difference equations, Appi. Anal., 40, (1991), 89 - 10910.1080/00036819108839996Search in Google Scholar

[12] I. L. Popa, T. Ceausu, and M. Megan, On h-trichotomy of linear discrete-time systems in Banach spaces, Acta Universitatis Apulensis, 39, (2014), 1-1010.17114/j.aua.2014.39.28Search in Google Scholar

[13] R. S. Sacker and G. R. Sell, Existence of dichotomies and invariant splittings for linear differential equations, III, J. Differential Equations, 3, (1990), 1201-1224 Search in Google Scholar