Acknowledgement
The author would like to thank the referees for their careful reading and some constructive comments and valuable suggestions, which are helpful to improve the quality of this paper.
References
- M. Adimy, A. Elazzouzi and K. Ezzinbi, Reduction principle and dynamic behavoirs for a class of partial functional differential equations, Nonlinear Analysis, TMA 71 (2009), 1709-17. https://doi.org/10.1016/j.na.2009.01.008
- M. Adimy, K. Ezzinbi, Existence and linearized stability for partial neutral functional differential equations, Differential Equations Dynam. Systems 7 (1999), 371-417.
- M. Adimy, K. Ezzinbi, M. Laklach, Spectral decomposition for partial neutral functional differential equations, Canadian Applied Mathematics Quarterly 1 (2001), 1-34.
- J. Blot, P. Cieutat, K. Ezzinbi, Measure theory and pseudo almost automorphic functions: New developments and applications, Nonlinear Analysis (2012), 2426-2447.
- J. Blot, P. Cieutat, K. Ezzinbi New approach for weighted pseudo almost periodic functions under the light of measure theory, basic results and applications, Applicable Analysis (2013), 493-526.
- T. Diagana, K. Ezzinbi and M. Miraoui, Psedo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory, CUBO A Mathematical Journal 02 (2014), 01-31.
- A. Elazzouzi, Cn-almost periodic and Cn-almost automorphic solutions for a class of partial functional differential equations with finite delay, Nonlinear Analysis: Hybrid Systems 4 (2010), 672-688. https://doi.org/10.1016/j.nahs.2010.04.005
- G.M. N'Guerekata, Topics in Almost Automorphic and Almost Periodic Functions in Abstract spaces, Springer, Heidelberg, 2021.
- K. Ezzinbi, H. Toure, I. Zabsonre, Pseudo almost automorphic solutions of class r for some partial functional differential equations, Afrika Matematika (2014), 25-41.
- K. Ezzinbi, S. Fatajou, G.M. N'Guerekata, Cn-almost automorphic solutions for partial neutral functional differential equations, Applicable Analysis 86 (2007), 1127-1146. https://doi.org/10.1080/00036810701584591
- G.M. Mophou, G.M. N'Guerekata, On some classes of almost automorphic functions and applications to fractional differential equations, Comput. Math. with Appl. 59 (2010), 1310-1317. https://doi.org/10.1016/j.camwa.2009.05.008
- M. Napo, I. Zabsonre and G. Bayili, Cn-pseudo almost automorphic solutionso of class r for neutral partial functional differential equations under the light of measure theory, Silesian J. Pure Appl. Math. 12 (2022), 1-32.
- G.M. N'Guerekata, Almost automorphic and almost periodic functions, Kluwer Academic Publishers, New York, 2001.
- A. Pazy, Semigroups of Linear Operators and Application to Partial Differental Equation, Applied Mathematical Sciences, Vol. 44, Springer-Verlag, New York, 1983.
- C.C. Travis and G.F. Webb, Existence, stability, and compactness in the α-norm for partial functional differential equations, Transaction of the American Mathematical Society 240 (1978), 129-143. https://doi.org/10.1090/S0002-9947-1978-0499583-8
- I. Zabsonre, D. Mbainadji, Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory, Nonauton. Dyn. syst. 7 (2020), 81-101. https://doi.org/10.1515/msds-2020-0112