References
- Zhang C. Integration of vector-valued pseudo-almost periodic functions. Proc Am Math Soc. 1994;121(1):167–174.
- Zhang C. Pseudo almost periodic solutions of some differential equations. J Math Anal Appl. 1994;181(1):62–76.
- Zhang C. Pseudo almost periodic solutions of some differential equations II. J Math Anal Appl. 1995;192(2):543–561.
- Ait Dads E, Arino O. Exponential dichotomy and existence of pseudo-almost periodic solutions of some differential equations. Nonlinear Anal. Theory Methods Appl. 1996;27(4):369–386.
- Chai J, Li Z, Xia Z. Pseudo almost periodic dynamics of impulsive Nicholsons blowflies model with nonlinear density-dependent mortality term. Jpn J Ind Appl Math. 2018;35(1):311–333.
- Diagana T. Pseudo almost periodic solutions to some differential equations. Nonlinear Anal. Theory Methods Appl. 2005;60(7):1277–1286.
- Diagana T. Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations. Nonlinear Anal Theory Methods Appl. 2007;66(2):384–395.
- Diagana T, Mahop CM, NGuerekata GM, Toni B. Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications. Nonlinear Anal Theory Methods Appl. 2006;64(11):2442–2453.
- Li Z, Wang D, Xia Z. Measure pseudo affine-periodic solutions of semilinear differential equations. Math Commun. 2018;23(2):259–277.
- Liang J, Xia TJ, Zhang J. Decomposition of weighted pseudo-almost periodic functions. Nonlinear Anal Theory Methods Appl. 2010;73(10):3456–3461.
- Wang D, Xia Z. Measure pseudo almost periodic mild solutions of stochastic functional differential equations with Lévy noise. J Nonlinear Convex Anal. 2017;18(5):847–858.
- Diagana T. Weighted pseudo-almost periodic functions and applications. C R Math Acad Sci Paris. 2006;343(10):643–646.
- Diagana T. Weighted pseudo-almost periodic solutions to some differential equations. Nonlinear Anal Theory Methods Appl. 2008;68(8):2250–2260.
- Blot J, Cieutat P, Ezzinbi K. New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications. Appl Anal. 2011;92(3):1–34.
- Murray JD. Mathematical biology i: an introduction. Berlin: Springer-Verlag; 2002.
- Murray JD. Mathematical biology II: spatial models and biomedical applications. Berlin: Springer-Verlag; 2003.
- Thieme HR. Semiflows generated by Lipschitz perturbations of non-densely defined operators. Differ Int Equ. 1990;3(6):1035–1066.
- Jendoubi C. Unstable manifolds of a class of delayed partial differential equations with nondense domain. Annales Polinicci Mathematici. 2016;118(2-3):181–208.
- Jendoubi C. Integral manifolds of a class of delayed partial differential equations with nondense domain. Num Funct Anal Optim. 2017;38(8):1024–1044.
- Corduneanu C. Almost periodic functions. New York: Wiley; 1968. (Reprinted, Chelsea, New York, 1989)
- Yoshizawa T. Stability theory and the existence of periodic solutions and almost periodic solutions. New York: Springer; 1975.
- Cieutat P, Fatajou S, NGuerekata GM. Composition of pseudo-almost periodic and pseudo-almost automorphic functions and applications to evolution equations. Appl Anal. 2010;89(1):11–27.
- Blot J, Cieutat P, N'Guérékata G, Pennequin D. Superposition operators between various almost periodic function spaces and applications. Commun Math Anal. 2008;6(1):42–70.
- Duoc TV, Huy NT. Unstable manifolds for partial functional differential equations in admissible spaces on the whole line. Vietnam J Math. 2015;43(1):37–55.
- Huy NT. Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line. J Math Anal Appl. 2009;354(1):372–386.
- Minh NV, Rabiger F, Schnaubelt R. Exponential stability exponential expansiveness and exponential dichotomy of evolution equations on the half line. Integral Equ Oper Theory. 1998;32:332–353.
- Rudin W. Real and complex analysis. 3rd ed., New York: McGraw-Hill Book Company; 1986.
- Maniar L, Schnaubelt R. Almost periodicity of inhomogeneous parabolic evolution equations. Lecture notes in pure and applied mathematics, Vol. 234, New york: Dekker; 2003, p. 299–318.
- Diagana T, Hernandez EM. Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional differential equations and applications. J Math Anal Appl. 2007;327(2):776–791.
- Da Prato G, Sinestrari E. Differential operators with non-dense domain. Annali della Scuola Normale Superiore di Pisa-Classe di Scienze. 1987;14(2):285–344.