L. Amerio and G. Prouse, Almost-periodic functions and functional equations, 1971.
DOI : 10.1007/978-1-4757-1254-4

J. Andres, A. M. Bersani, and R. F. Grande, Hierarchy of almost-periodic function spaces, Rend. Mat. Appl., VII. Ser, vol.26, issue.2, pp.121-188, 2006.

J. Andres, Almost-periodic and bounded solutions of Carathéodory differential inclusions, Differential Integral Equations, vol.12, issue.6, pp.887-912, 1999.

J. Andres and A. M. Bersani, Almost-periodicity problem as a fixed-point problem for evolution inclusions, Topological Methods in Nonlinear Analysis, vol.18, issue.2, pp.337-349, 2001.
DOI : 10.12775/TMNA.2001.038
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.4759

J. Andres, A. M. Bersani, and K. Le´sniakle´sniak, On some almost-periodicity problems in various metrics, Acta Applicandae Mathematicae, vol.65, issue.1/3, pp.35-57, 2001.
DOI : 10.1023/A:1010658802322

J. Andres and D. Pennequin, On Stepanov almost-periodic oscillations and their discretizations, Journal of Difference Equations and Applications, vol.54, issue.10, pp.1665-1682, 2012.
DOI : 10.1112/plms/s2-32.1.402

J. Andres and D. Pennequin, On the nonexistence of purely Stepanov almost-periodic solutions of ordinary differential equations, Proc. Am, pp.2825-2834, 2012.
DOI : 10.1090/S0002-9939-2012-11154-2
URL : https://hal.archives-ouvertes.fr/hal-00707819

A. A. Pankov, Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations Mathematics and its Applications 55, 1990.
DOI : 10.1007/978-94-011-9682-6

F. Bedouhene, N. Challali, O. Mellah, P. Raynaud-de-fitte, and M. Smaali, Almost automorphy and various extensions for stochastic processes, Journal of Mathematical Analysis and Applications, vol.429, issue.2, pp.1113-1152, 2015.
DOI : 10.1016/j.jmaa.2015.04.014
URL : https://hal.archives-ouvertes.fr/hal-01081794

F. Bedouhene, O. Mellah, and P. Raynaud-de-fitte, Bochner-Almost Periodicity for Stochastic Processes, Stochastic Analysis and Applications, vol.38, issue.4, pp.322-342, 2012.
DOI : 10.1214/aoms/1177696970
URL : https://hal.archives-ouvertes.fr/hal-00566659

A. Samoilovitch-besicovitch, Almost periodic functions, 1954.

P. Bezandry and T. Diagana, -almost periodic solutions to a class of nonautonomous stochastic evolution equations, Electronic Journal of Qualitative Theory of Differential Equations, issue.35, p.19, 2008.
DOI : 10.14232/ejqtde.2008.1.35

J. Blot, G. M. Mophou, G. M. N-'guérékata, and D. Pennequin, Weighted pseudo almost automorphic functions and applications to abstract differential equations, Nonlinear Analysis: Theory, Methods & Applications, vol.71, issue.3-4, pp.71-74, 2009.
DOI : 10.1016/j.na.2008.10.113
URL : https://hal.archives-ouvertes.fr/hal-00617634

J. Blot and P. Cieutat, Completeness of sums of subspaces of bounded functions and applications, Commun. Math. Anal, vol.19, issue.2, pp.43-61, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01211149

J. Blot, P. Cieutat, and K. Ezzinbi, Measure theory and pseudo almost automorphic functions: New developments and applications, Nonlinear Analysis: Theory, Methods & Applications, vol.75, issue.4, pp.2426-2447, 2012.
DOI : 10.1016/j.na.2011.10.041
URL : https://hal.archives-ouvertes.fr/hal-00664739

J. Blot, P. Cieutat, and K. Ezzinbi, New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications, Applicable Analysis, vol.9, issue.1, pp.493-526, 2013.
DOI : 10.1016/j.jmaa.2006.05.036
URL : https://hal.archives-ouvertes.fr/hal-00662508

J. Blot, P. Cieutat, G. M. Guérékata, and D. Pennequin, Superposition operators between various almost periodic function spaces and applications, Commun. Math. Anal, vol.6, issue.1, pp.42-70, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00662577

S. Bochner, Abstrakte Fastperiodische Funktionen, Acta Mathematica, vol.61, issue.0, pp.149-184, 1933.
DOI : 10.1007/BF02547790

S. Bochner, A NEW APPROACH TO ALMOST PERIODICITY, Proceedings of the National Academy of Sciences, vol.48, issue.12, pp.2039-2043, 1962.
DOI : 10.1073/pnas.48.12.2039
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC221119/pdf

Y. Chang, Z. Cheng, and G. M. Guérékata, Stepanov-Like Pseudo Almost Automorphic Solutions to Some Stochastic Differential Equations, Bulletin of the Malaysian Mathematical Sciences Society, vol.22, issue.1, pp.181-197, 2016.
DOI : 10.1007/s40840-015-0168-3

Y. Chang, Z. Zhao, G. M. Guerekata, and R. Ma, Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations, Nonlinear Analysis: Real World Applications, vol.12, issue.2, pp.1130-1139, 2011.
DOI : 10.1016/j.nonrwa.2010.09.007

C. Corduneanu, Almost periodic functions With the collaboration of N. Gheorghiu and V. Barbu. Transl. from the Romanian by Gitta Berstein and Eugene Tomer, 1989.

G. , D. Prato, and C. Tudor, Periodic and almost periodic solutions for semilinear stochastic equations, Stochastic Anal. Appl, vol.13, issue.1, pp.13-33, 1995.

G. Da, P. , and J. Zabczyk, Stochastic equations in infinite dimensions, volume 152 of Encyclopedia of Mathematics and its Applications, 2014.

L. I. Danilov, Measure-valued almost periodic functions, Mathematical Notes, vol.1, issue.No. 5, pp.48-57, 1997.
DOI : 10.1007/BF02355007

L. I. Danilov, Measure-valued almost periodic functions and almost periodic selections of multivalued maps, Matematicheskii Sbornik, vol.188, issue.10, pp.3-24, 1997.
DOI : 10.4213/sm262

L. I. Danilov, On the uniform approximation of a function that is almost periodic in the sense of Stepanov, Izv. Vyssh. Uchebn. Zaved. Mat, vol.5, pp.10-18, 1998.

L. I. Danilov, Almost periodic measure-valued functions, Sbornik: Mathematics, vol.191, issue.12, pp.1773-1796, 2000.
DOI : 10.1070/SM2000v191n12ABEH000527

T. Diagana, Weighted pseudo almost periodic functions and applications, Comptes Rendus Mathematique, vol.343, issue.10, pp.643-646, 2006.
DOI : 10.1016/j.crma.2006.10.008

T. Diagana, Pseudo almost periodic functions in Banach spaces, 2007.

T. Diagana, Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations, Nonlinear Analysis: Theory, Methods & Applications, vol.69, issue.12, pp.694277-4285, 2008.
DOI : 10.1016/j.na.2007.10.051

T. Diagana, Weighted pseudo-almost periodic solutions to some differential equations, Nonlinear Analysis: Theory, Methods & Applications, vol.68, issue.8, pp.2250-2260, 2008.
DOI : 10.1016/j.na.2007.01.054

T. Diagana, Existence of pseudo-almost automorphic solutions to some abstract differential equations with -pseudo-almost automorphic coefficients, Nonlinear Analysis: Theory, Methods & Applications, vol.70, issue.11, pp.3781-3790, 2009.
DOI : 10.1016/j.na.2008.07.034

H. Ding, W. Long, and G. M. Guérékata, Almost periodic solutions to abstract semilinear evolution equations with Stepanov almost periodic coefficients, J. Comput. Anal. Appl, vol.13, issue.2, pp.231-242, 2011.
DOI : 10.1016/j.mcm.2006.07.006
URL : http://doi.org/10.1016/j.mcm.2006.07.006

Z. Fan, J. Liang, and T. Xiao, On Stepanov-like (pseudo) almost automorphic functions. Nonlinear Analysis: Theory, Methods & Applications, pp.2853-2861, 2011.
DOI : 10.1016/j.na.2011.01.007

A. M. Fink, Almost periodic differential equations, Lecture Notes in Mathematics, vol.377, 1974.
DOI : 10.1007/BFb0070324

P. Franklin, Almost periodic recurrent motions, Mathematische Zeitschrift, vol.30, issue.1, pp.325-331, 1929.
DOI : 10.1007/BF01187774

Z. Hu and Z. Jin, Stepanov-like pseudo almost periodic mild solutions to nonautonomous neutral partial evolution equations, Nonlinear Analysis: Theory, Methods & Applications, vol.75, issue.1, pp.244-252, 2012.
DOI : 10.1016/j.na.2011.08.026

Z. Hu, Boundeness and Stepanov's almost periodicity of solutions. Electron, J. Differ. Equ, 2005.

Z. Hu and A. B. Mingarelli, Bochner???s theorem and Stepanov almost periodic functions, Annali di Matematica Pura ed Applicata, vol.32, issue.2, pp.719-736, 2008.
DOI : 10.1007/s10231-008-0066-5

H. L. Hurd and A. Russek, Stepanov almost periodically correlated and almost periodically unitary processes. Theory Probab, Appl, vol.41, issue.3 3, pp.449-467, 1996.
DOI : 10.1137/s0040585x97975253

M. Kamenskii, O. Mellah, and P. Raynaud-de-fitte, Weak averaging of semilinear stochastic differential equations with almost periodic coefficients, Journal of Mathematical Analysis and Applications, vol.427, issue.1, pp.336-364, 2015.
DOI : 10.1016/j.jmaa.2015.02.036
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.8662

J. Komlós, A generalization of a problem of Steinhaus, Acta Mathematica Academiae Scientiarum Hungaricae, vol.16, issue.1-2, pp.217-229, 1967.
DOI : 10.1007/BF02020976

B. M. Levitan, Almost periodic functions, Moskva: Gosudarstv. Izdat. Tehn.-Teor. Lit, 1953.

B. M. Levitan and V. V. Zhikov, Almost periodic functions and differential equations. CUP Archive, 1982.

H. Li and L. Zhang, Stepanov-Like Pseudo-Almost Periodicity and Semilinear Differential Equations with Uniform Continuity, Results in Mathematics, vol.72, issue.1-2, pp.43-61, 2011.
DOI : 10.1007/s00025-010-0050-4

W. Long and H. Ding, Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions, Advances in Difference Equations, vol.234, issue.8, p.12, 2011.
DOI : 10.1007/s00025-010-0050-4
URL : http://doi.org/10.1155/2011/654695

O. Mellah and P. Raynaud-de-fitte, Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients, Electron. J. Differential Equations, issue.91, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00726462

V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations, Princeton Mathematical Series, issue.22, 1960.
DOI : 10.1515/9781400875955

M. N. Gaston and . Guérékata, Topics in almost automorphy, 2005.

M. N. Gaston, A. Guérékata, and . Pankov, Stepanov-like almost automorphic functions and monotone evolution equations, Nonlinear Anal, vol.68, issue.9, pp.2658-2667, 2008.

J. Signerska-rynkowska-piotr, A. Kasprzak, and . Nawrocki, Integrate-and-fire models with an almost periodic input function. ArXiv e-prints, pp.4434-4435, 1610.

R. Aribindi-satyanarayan, On the almost periodic solution of a second-order infinitesimal generator differential equation, Bull. Calcutta Math. Soc, vol.91, issue.5, pp.391-396, 1999.

R. Aribindi-satyanarayan, On a higher-order evolution equation with a Stepanovbounded solution, Int. J. Math. Math. Sci, pp.69-723959, 2004.

W. Stepanoff, ??ber einige Verallgemeinerungen der fast periodischen Funktionen, Mathematische Annalen, vol.95, issue.1
DOI : 10.1007/BF01206623

S. Stanis, Almost periodic functions in the Lebesgue measure, Ann. Soc. Math. Pol., Ser. I, Commentat. Math, vol.34, pp.189-198, 1994.

S. Stanis, Some remarks on Bohr's almost periodic functions and Stepanov's almost periodic functions, Funct. Approx. Comment. Math, vol.24, pp.53-58, 1996.

S. Stanis, On compactness of almost periodic functions in the Lebesgue measure, Fasc. Math, vol.30, pp.171-175, 1999.

C. Tang and Y. Chang, Stepanov-like weighted asymptotic behavior of solutions to some stochastic differential equations in Hilbert spaces, Applicable Analysis, vol.35, issue.12, pp.2625-2646, 2014.
DOI : 10.1016/j.camwa.2012.02.039

C. Tudor, Almost periodic stochastic processes In Qualitative problems for differential equations and control theory, World Sci. Publ, pp.289-300, 1995.

C. A. Tudor and M. Tudor, Pseudo almost periodic solutions of some stochastic differential equations, Math. Rep. (Bucur.), vol.1, issue.512, pp.305-314, 1999.

I. Vrko?, Weak averaging of stochastic evolution equations, Math. Bohem, vol.120, issue.1, pp.91-111, 1995.

N. Wiener, On the representation of functions by trigonometrical integrals, Mathematische Zeitschrift, vol.33, issue.1, pp.575-616, 1926.
DOI : 10.1007/BF01216799

Z. Yan and H. Zhang, Existence of Stepanov-like square-mean pseudo almost periodic solutions to partial stochastic neutral differential equations, Annals of Functional Analysis, vol.6, issue.1, pp.116-138, 2015.
DOI : 10.15352/afa/06-1-10

S. Zaidman, An existence result for Stepanoff almost-periodic differential equations, Bulletin canadien de math??matiques, vol.14, issue.0, pp.551-554, 1971.
DOI : 10.4153/CMB-1971-097-5

Y. Chuan and . Zhang, Pseudo-almost-periodic solutions of some differential equations, J. Math. Anal. Appl, vol.181, issue.1, pp.62-76, 1994.

Y. Chuan and . Zhang, Pseudo almost periodic solutions of some differential equations. II, J. Math. Anal. Appl, vol.192, issue.2, pp.543-561, 1995.

Z. Zhao, Y. Chang, and G. M. Guérékata, A new composition theorem for $S^p$-weighted pseudo almost periodic functions and applications to semilinear differential equations, Opuscula Mathematica, vol.31, issue.3, pp.457-474, 2011.
DOI : 10.7494/OpMath.2011.31.3.457