Cite

[1] L. Barreira, D. Dragičević, C. Valls, Characterization of strong exponential dichotomies, Bull. Braz. Math. Soc., New Series 46 (1) (2015), 81-103.10.1007/s00574-015-0085-ySearch in Google Scholar

[2] L. Barreira, D. Dragičević, C. Valls, From one-sided dichotomies to two-sided dichotomies, Discrete and continuous dynamical systems35 (7) (2015), 2817-2844.10.3934/dcds.2015.35.2817Search in Google Scholar

[3] L. Barreira, C. Valls, D. Dragičević, Nonuniform Hyperbolicity and Admissibility, Advanced Nonlinear Studies14 (2014), 791-811.10.1515/ans-2014-0315Search in Google Scholar

[4] A. J. G. Bento, C. M. Silva, Generalized nonuniform dichotomies and local stable manifolds, J. Dyn. Diff. Equat.25 (2013), 1139-1158.10.1007/s10884-013-9331-4Search in Google Scholar

[5] W. A. Coppel, Dichotomies in Stability Theory, Lecture Notes in Mathematics, Springer-Verlag, Berlin-New York, 1978.10.1007/BFb0067780Search in Google Scholar

[6] J. L. Dalecki, M. G. Krein, Stability of Solutions of Differential Equations in Banach Space, Transl. Math. Monogr. Vol. 43, Amer. Math. Soc., 1974.Search in Google Scholar

[7] R. Datko, Uniform asymptotic stability of evolutionary processes in a Banach space, SIAM J. Math. Anal.3 (1972), 428-445.10.1137/0503042Search in Google Scholar

[8] M. I. Kovacs, M.G. Babuţia, M. Megan, On (h,k)- dichotomy in Banach spaces, Scientific Bulletin of Politehnica University of Timişoara73 (2014).Search in Google Scholar

[9] T. Li, Die Stabilitätsfrage bei Differenzengleichungen, Acta Math.63 (1934), 99-141.10.1007/BF02547352Search in Google Scholar

[10] N. Lupa, M. Megan, Exponential dichotomies of evolution operators in Banach Spaces, Monatshefte fur Mathematik174 (2) (2014), 265-284.10.1007/s00605-013-0517-ySearch in Google Scholar

[11] J. L. Massera, J. J. Schäffer, Linear Differential Equations and Function Spaces, Pure Appl. Math., Vol. 21, Academic Press, 1966.Search in Google Scholar

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

[13] M. Megan, B. Sasu, A. L. Sasu, On nonuniform exponential dichotomy of evolution operators in Banach spaces, Integr. Equat. Oper. Th.44 (2002), 71-78.10.1007/BF01197861Search in Google Scholar

[14] O. Perron, Die Stabilitatsfrage bei Differentialgleichungen, Math. Z.32 (1930), 703-728.10.1007/BF01194662Search in Google Scholar

[15] Ya. B. Pesin, Families of invariant manifolds corresponding to nonzero characteristic exponents, Izv. Akad. Nauk SSSR Ser. Mat.40 (6) (1976), 1332-1379.10.1070/IM1976v010n06ABEH001835Search in Google Scholar

[16] Ya. B. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Uspekhi Mat. Nauk, 32:4 (196) (1977), 55-112.10.1070/RM1977v032n04ABEH001639Search in Google Scholar

[17] M. Pinto, Dichotomies and asymptotic behavior, Contributions USACH, (1992), 13-22.Search in Google Scholar

[18] A. L. Sasu, B. Sasu, Integral equations, dichotomy of evolution families on the half-line and applications, Integr. Equat. Oper. Th.66 (2010), 113-140.10.1007/s00020-009-1735-5Search in Google Scholar

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