Cite

[1] Barreira, L., Valls, C., Admissibility for nonuniform exponential contractions, Journal of Differential Equations 249 (2010), 2889-2904.10.1016/j.jde.2010.06.010Search in Google Scholar

[2] Barreira, L., Valls, C., Nonuniform exponential dichotomies and admissibility, Discrete and Continuous Dynamical Systems 30 (2011), 39-53.10.3934/dcds.2011.30.39Search in Google Scholar

[3] Chicone, C., Latushkin, Y., Evolution semigroups in dynamical systems and differential equations, Mathematical Surveys and Monographs, vol. 70, Providence, RO: American Mathematical Society, 1999.10.1090/surv/070Search in Google Scholar

[4] Coppel, W.A., Dichotomies in Stability Theory, Lecture Notes in Math., vol. 629, Springer-Verlag, New York, 1978.10.1007/BFb0067780Search in Google Scholar

[5] Daleckij, J.L., Krein, M.G., Stability of Differential Equations in Banach Space, Amer. Math. Soc., Providence, RI, 1974.Search in Google Scholar

[6] Hartman, P. Ordinary Differential Equations, Wiley, New York/London/Sidney, 1964.Search in Google Scholar

[7] Huy, N.T., Invariant manifolds of admissibile classes for semi-linear evolution equations, J. Differential Equations 246 (2009), 1820-1844.10.1016/j.jde.2008.10.010Search in Google Scholar

[8] Latushkin, Y., Randolph, T., Schnaubelt, R., Exponential dichotomy and mild solutions of non-autonomous equations in Banach spaces, J. Dynam. Differential Equations 3 (1998), 489-510.10.1023/A:1022609414870Search in Google Scholar

[9] Levitan, B.M., Zhikov, V.V., Almost Periodic Functions and Differential Equations, Cambridge Univ. Press, Cambridge, 1982.Search in Google Scholar

[10] Marin, M., Florea, O., On temporal behaviour of solutions in Thermoelasticity of porous micropolar bodies, An. Sti. Univ. Ovidius Constanţa, Vol. 22, issue 1, (2014) 169-188.10.2478/auom-2014-0014Search in Google Scholar

[11] Massera, J.L., Schäffer, J.J., Linear Differential Equations and Function Spaces, Academic Press, New York, 1966.Search in Google Scholar

[12] Van Minh, N., Räbiger, F., Schnaubelt, R., Exponential stability, exponential expansiveness and exponential dichotomy of evolution equations on the half-line, Integral Equations Operator Theory 32 (1998), 332-353.10.1007/BF01203774Search in Google Scholar

[13] Pazy, A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.10.1007/978-1-4612-5561-1Search in Google Scholar

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

[15] Sasu, A.L., Sasu, B. Exponential dichotomy on the real line and admissibility of function spaces, Integr. equ. oper. theory 54 (2006), 113-130.10.1007/s00020-004-1347-zSearch in Google Scholar

[16] Sasu, A.L., Integral equations on function spaces and dichotomy on the real line, Integr. equ. oper. theory 58 (2007), 133-152.10.1007/s00020-006-1478-5Search in Google Scholar

[17] Sharma, K., Marin, M., Reflection and transmission of waves from imperfect boundary between two heat conducting micropolar thermoelastic solids, An. Sti. Univ. Ovidius Constanţa, Vol. 22, issue 2, (2014) 151-175.10.2478/auom-2014-0040Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics