References
- Pazy A. Semigroups of linear operators and applications to partial differential equations. Applied mathematical sciences. Vol. 44. New York (NY): Springer-Verlag; 1983.
- Perron O. Die Stabilitätsfrage bei Differentialgleichungen [The stability of differential equations]. Math. Z. 1930;32:703–728.
- Minh NV, Räbiger F, Schnaubelt R. Exponential stability, exponential expansiveness and exponential dichotomy of evolution equations on the half-line. Int. Equ. Oper. Theory. 1998;32:332–353.
- Preda P, Pogan A, Preda C. (Lp, Lq)-admissibility and exponential dichotomy of evolutionary processes on the half-line. Int. Equ. Oper. Theory. 2004;49:405–418.
- Hai PV. The relation between the uniform exponential dichotomy and the uniform admissibility of the pair (lp, lq) on Θ. Asian-Eur. J. Math. 2010;3:593–605.
- Ngoc PHA, Naito T. New characterizations of exponential dichotomy and exponential stability of linear difference equations. J. Differ. Equ. Appl. 2005;11:909–918.
- Li T. Die Stabilitätsfrage bei Differenzengleichungen [The stability of difference equations]. Acta Math. 1934;63:99–141.
- Minh NV. N’guérékata G.M. Preda C. On the asymptotic behavior of the solutions of semilinear nonautonomous equations. Semigroup Forum. 2013;87:18–34.
- Barreira L, Valls C. Admissibility for nonuniform exponential contractions. J. Differ. Equ. 2010;249:2889–2904.
- Barreira L, Valls C. Polynomial growth rates. Nonlinear Anal. 2009;71:5208–5219.
- Megan M, Ceauşu T, Ramneanţu ML. Polynomial stability of evolution operators in Banach spaces. Opuscula Math. 2011;31:279–288.
- Megan M, Ceauşu T, Minda AA. On Barreira-Valls polynomial stability of evolution operators in Banach spaces. Electron. J. Qual. Theory Differ. Equ. 2011;33:1–10.
- Daleckii JL, Krein MG. Stability of solutions of differential equations in Banach spaces translations of mathematical monographs. Vol. 43. Providence (RI): American Mathematical Society; 1974.
- Reed M, Simon B. Methods of modern mathematical physics. II. Fourier analysis, self-adjointness. New York (NY): Academic Press; 1975.
- Datko R. Extending a theorem of A.M. Liapunov to Hilbert space. J. Math. Anal. Appl. 1970;32:610–616.
- Barbashin EA. Introduction in the theory of stability. Moscow: Izd. Nauka; 1967 . Russian.
- Hai PV. Two new approaches to Barbashin theorem. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 2012;19:773–798.
- Hai PV. Continuous and discrete characterizations for the uniform exponential stability of linear skew-evolution semiflows. Nonlinear Anal. 2010;72:4390–4396.
- Hai PV. On two theorems regarding exponential stability. Appl. Anal. Discrete Math. 2011;5:240–258.