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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 9
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Research Article

New contributions on asymptotically periodic functions and đť’®-asymptotically omega periodic functions

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Pages 2449-2465 | Received 11 Oct 2021, Accepted 19 Dec 2021, Published online: 18 Jan 2022

References

  • Newton I. Philosophiae naturalis principia mathematica. Vol. I. Reprinting of third edition with variant readings. Cambridge, Mass: Harvard University Press; 1972.
  • Bohr H. Zur theorie der fast periodischen funktionen. I. Acta Math. 1925;45:29–127.
  • Hale JK. Ordinary differential equations. New York: Wiley-intersciences; 1969.
  • Bochner S. Curvative and betti numbers in real and complex vector bundles. Univ e Politec Torino Rend Sem Mat. 1955–56;15:225–253.
  • Bochner S. Uniform convergence of monotone sequences of functions. Proc Nat Acad Sci USA. 1961;47:582–585.
  • Veech WA. Almost automorphic functions in groups. Amer J Math. 1965;87:719–751.
  • Zhang C. Pseudo almost-periodic solutions of some differential equations. JMAA. 1994;181:62–76.
  • Ait Dads E, Ezzinbi K, Arino O. Pseudo almost periodic solutions for some differential equations in a Banach space. Nonlinear Anal. 1997;28:1441–1155.
  • Henriquez HR, Pierri M, Taboas P. On S-asymptotically ω-periodic functions on Banach spaces and applications. J Math Anal Appl. 2008;343:1119–1130.
  • Henriquez H, Pierri M, Taboas P. Existence of S-asymptotically ω-periodic solutions for abstract neutral equations. Bull Aust Math Soc. 2008;78(3):365–382.
  • Nicola S, Pierri M. A note on S-asymptotically ω-periodic functions. Nonlinear Anal TMA. 2009;10(5):2937–2938.
  • Cuevas C, de Souza JC. S-asymptotically ω-periodic solutions of semilinear fractional integro differential equations. Appl Math Lett. 2009;22:865–870.
  • Brindle D, N'GuĂ©rĂ©kata GM. S-asymptotically ω-periodic mild solutions to fractional differential equations. Electron J Differential Equations. 2020;30:1–12.
  • Brindle D, N'GuĂ©rĂ©kata GM. S-asymptotically ω-periodic sequential solutions to difference equations. Nonlinear Stud. 2019;26(3):575–586.
  • Brindle D, N'GuĂ©rĂ©kata GM. Existence results of S-asymptotically -periodic mild solutions to some integro-differential equations. Pan Amer Math J. 2019;29(2):63–74.
  • Caicedo A, Cuevas C. S-asymptotically ω-periodic solutions of abstract partial neutral integro differential equations. Funct Differ Equa. 2010;1:59–77.
  • Gunegai O, N'GuĂ©rĂ©kata GM. On S-asymptotically ω-periodic and Bloch periodic mild solutions to some fractional differential equation in abstract spaces. Math Meth Appl Sci. 2018;2:1–8. DOI:10.1002/mmas5082.
  • Gunegai O, N'GuĂ©rĂ©kata GM. S-asymptotically ω-periodic mild solution to some fractional integro-differential equations with infinite delay. Libertas Math. 2018;39(2):111–124.

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