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Tytuł artykułu

Cn - pseudo almost automorphic solutions of class r for neutral partial functional differential equations under the light of measure theory

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Języki publikacji
EN
Abstrakty
EN
The aim of this work is to present new approach to study Cn-(µ,v)-pseudo almost automorphic solutions of class r for some neutral partial functional differential equations in a Banach space when the delay is distributed. We use the variation of constants formula and the spectral decomposition of the phase space.
Rocznik
Strony
1--32
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
  • Universite Joseph KI-ZERBO, Unite de Recherche et de Formation en Sciences Exactes et Appliquees, Departement de Mathematiques B.P.7021 Ouagadougou 03, Burkina Faso
  • Universite Joseph KI-ZERBO, Unite de Recherche et de Formation en Sciences Exactes et Appliquees, Departement de Mathematiques B.P.7021 Ouagadougou 03, Burkina Faso
  • Universite Joseph KI-ZERBO, Unite de Recherche et de Formation en Sciences Exactes et Appliquees, Departement de Mathematiques B.P.7021 Ouagadougou 03, Burkina Faso
Bibliografia
  • 1. Adimy M., Elazzouzi A., K. Ezzimbi K.: Bohr-Neugebauer type theorem for some partial neutral functional differential equations. Nonlinear Anal. Theory Methods Appl. 66, (2007), 1145-1160.
  • 2. Adimy M., Ezzinbi K.: Existence and linearized stability for partial neutra functional differential equations. Di_er. Equ. Dyn. Syst. 7, (1999), 371-417.
  • 3. Adimy M., Ezzinbi K., Laklach M.: Spectral decomposition for partial neutral functional differential equations. Can. Appl. Math. Q. (1), (2001), 1-34.
  • 4. Blot J., Cieutat P., Ezzinbi K.: Measure theory and pseudo almost automorphic functions: New developments and applications. Nonlinear Anal. Theory Methods Appl. 75, (2012), 2426-2447.
  • 5. Diagana T., Ezzinbi K., Miraoui M.: Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory. Cubo: A Mathematical Journal, 16(02), (2014), 1-31.
  • 6. Diagana T.: Weighted pseudo-almost periodic solutions to some differential equations. Nonlinear Anal. Theory Methods Appl. 68(8) (2008), 2250{2260.
  • 7. Ezzinbi K., Toure H., Zabsonre I.: Pseudo almost automorphic solutions of class r for some partial functional di_erential equations. Afr. Mat. (2014), 25-41.
  • 8. Ezzinbi K., Fatajou S., N'Guerekata G.M.: Cn-almost automorphic solutions for partial neutral functional di_erential equations. Appl. Anal. 86:9, (2007), 1127-1146.
  • 9. Ezzinbi K., Fatajou S., N'Gueekata G.M.: Cn-almost automorphic solutions for partial neutral functional differential equations. Appl. Anal. 86:9, (2007), 1127-1146.
  • 10. Ezzinbi K., N'Guerekata G.M.: Massera type theorem for almost automorphic solutions of functional differential equations of neutral type. Appl. Math. Lett. 316, (2006), 707-721.
  • 11. Li H.X., Huang F.L., Li J.Y.: Composition of pseudo almost-periodic functions and semilinear differential equations. J. Math. Anal. Appl. 255(2), (2001), 436-446.
  • 12. Mphou G.M., N'Guerekata G.M.: On some classes of almost automorphic functions and applications to fractional differential equations. Comput. Math. with Appl. 59, (2010), 1310-1317.
  • 13. N'Guerekata G.M.: Topics in Almost Automorphic and Almost Periodic Functions in Abstract spaces. Springer, Heidelberg (2021).
  • 14. Xiao T.J., Liang J., Zhang J.: Pseudo almost automorphic solutions to semi-linear differential equations in Banach spaces. Semigr. Forum 76, (2008), 518-524.
  • 15. Zhang C.: Integration of vector-valued pseudo-almost periodic functions. Proc. Am. Math. Soc. 121(1) (1994), 167-174.
  • 16. Zhang C.: Pseudo almost periodic solutions of some differential equations. J. Math. Anal. Appl. 181(1) (1994), 62-76.
  • 17. Zhang C.: Pseudo almost periodic solutions of some differential equations, II. J. Math. Anal. Appl. 192(2) (1995), 543-561.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-117229b6-de98-42c4-9af0-558c1cb5afb4
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