Cite

[1] B. Aulbach and J. Kalkbrenner, Exponential forward splitting for noninvertible difference equations, Comput. Math. Appl., 42, (2001), 743-75410.1016/S0898-1221(01)00194-8Search in Google Scholar

[2] M. G. Babuţia and M. Megan, Exponential dichotomy concepts for evolution operators on the half-line, Ann. Acad. Rom. Sci. Ser. Math. Appl., 7, (2015), 209-226Search in Google Scholar

[3] A. J. G. Bento, N. Lupa, M. Megan, and C. Silva, Integral conditions for nonuniform µ-dichotomy, arXiv6v1 [math.DS], (2014)Search in Google Scholar

[4] L. Biriş and M. Megan, On a concept of exponential dichotomy for cocycles of linear operators in Banach spaces, accepted for publication in B. Math. Soc. Sci. Math.Search in Google Scholar

[5] R. Datko, Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space, SIAM J. Math. Anal., 3, (1972), 428-44510.1137/0503042Search in Google Scholar

[6] M. I. Kovacs, M. Megan, and C. L. Mihiţ, On (h, k)-dichotomy and (h, k)-trichotomy of noninvertible evolution operators in Banach spaces, Analele Universităţii de Vest din Timişoara, Seria Matematică-Informatică, LII, (2014), 127-14310.2478/awutm-2014-0015Search in Google Scholar

[7] N. Lupa and M. Megan, Exponential dichotomies of evolution operators in Banach spaces, Monatsh. Math., 174, (2014), 265-28410.1007/s00605-013-0517-ySearch in Google Scholar

[8] M. Megan, On (h, k)-dichotomy of evolution operators in Banach spaces, Dynam. Systems Appl., 5, (1996), 189-196Search in Google Scholar

[9] M. Megan and M. G. Babuţia, Nonuniform exponential dichotomy for noninvertible evolution operators in Banach spaces, accepted for publication in An. Stiint. U. Al. I-MatSearch in Google Scholar

[10] M. Megan, B. Sasu, and A. L. Sasu, On nonuniform exponential dichotomy of evolution operators in Banach spaces, Integr. Equat. Oper. Th., 44, (2002), 71-7810.1007/BF01197861Search in Google Scholar

[11] M. Megan and C. Stoica, Concepts of dichotomy for skew-evolution semiflows in Banach spaces, Ann. Acad. Rom. Sci. Ser. Math. Appl., 2, (2010), 125-140Search in Google Scholar

[12] N. Van Minh, F. Räbiger, and R. Schnaubelt, Exponential stability, exponential expansiveness and exponential dichotomy of evolution equations on the half-line, Integ. Equ. Oper. Th., 32, (1998), 332-35310.1007/BF01203774Search in Google Scholar

[13] O. Perron, Die Stabilitätsfrage bei Differentialgleichungen, Math. Z., 32, (1930), 703-72810.1007/BF01194662Search in Google Scholar

[14] I. L. Popa, M. Megan, and T. Ceauşu, Nonuniform exponential dichotomies in terms of Lyapunov functions for noninvertible linear discrete-time systems, The Scientific World Journal, (2013), Article ID 90102610.1155/2013/901026383639824307885Search in Google Scholar

[15] L. Zhou, K. Lu, and W. Zhang, Roughness of temperated exponential dichotomies for infinite-dimensional random difference equations, J. Differential Equations, 254, (2013), 4024-404610.1016/j.jde.2013.02.007Search in Google Scholar

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Journal Subjects:
Mathematics, General Mathematics