Skip to main content
SpringerLink
Log in
Book cover

Applied Mathematics in Tunisia pp 185–202Cite as

Birkhäuser

Existence of Weighted Pseudo Almost Periodic Solutions for some Partial Differential Equations with Delay

  • Conference paper

  • 520 Accesses

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 131))

Abstract

In this work, sufficient conditions are derived to get the existence and uniqueness of a weighted pseudo almost periodic solutions for some partial functional differential equations in hyperbolic case. To illustrate our main result, we study the existence of a weighted pseudo almost periodic solution for some diffusion equation with delay.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. M. Adimy, K. Ezzinbi, Existence and linearized stability for partial neutral functional differential equations, Differential Equations and Dynamical Systems, Volume 7, (1999), 371–417.

    MATH  MathSciNet  Google Scholar 

  2. M. Adimy, K. Ezzinbi, M. Laklach, Spectral decomposition for partial neutral functional differential equations, Can. Appl. Math. Q., Volume 9, Issue 1, (2001), 1–34.

    MATH  MathSciNet  Google Scholar 

  3. E. Ait Dads and O. Arino, Exponential dichotomy and existence of pseudo almost periodic solutions of some differential equations, Nonlinear Analysis, Volume 27, Issue 4, (1996), 369–386.

    Article  MATH  MathSciNet  Google Scholar 

  4. E. Ait Dads, K. Ezzinbi and O. Arino, Pseudo almost periodic solutions for some differential equations in Banach space, Nonlinear Analysis, Volume 28, Issue 7, (1997), 1141–1155.

    Article  MATH  MathSciNet  Google Scholar 

  5. E. Ait Dads and K. Ezzinbi, Pseudo almost periodic solutions of some delay differential equations, Journal of Mathematical Analysis and Applications, Volume 201, Issue 287, (1996), 840–850.

    Article  MATH  MathSciNet  Google Scholar 

  6. C. Corduneanu, Almost Periodic Functions, Wiley, New York, 1968. Reprinted, Chelsea, New York, 1989.

    Google Scholar 

  7. T. Diagana, Weighted pseudo-almost periodic solutions to some differential equations, Nonlinear Analysis, Volume 68, (2008), Issue 8, 2250–2260.

    Article  MATH  MathSciNet  Google Scholar 

  8. T. Diagana, Existence and uniqueness of pseudo almost periodic solutions to some classes of partial evolution equations, Nonlinear Analysis, Volume 66, Issue 2, (2007), 384–395.

    Article  MATH  MathSciNet  Google Scholar 

  9. T. Diagana, Pseudo Almost Periodic Functions in Banach Spaces, Nova Science Publishers, Inc., New York, 2007.

    MATH  Google Scholar 

  10. T. Diagana, Weighted pseudo almost periodic functions and applications, C.R.A.S, Volume 343, Issue 10, (2006), 643–646.

    Google Scholar 

  11. T. Diagana, C.M. Mahop, G.M. N’Guérékata, Pseudo-almost-periodic solutions to some semilinear differential equations, Mathematical and Computer Modelling, Volume 43, Issues 1-2, (2006), 89–96.

    Google Scholar 

  12. T. Diagana, C.M. Mahop, G.M. N’Guérékata, B. Toni, Existence and uniqueness of pseudo almost periodic solutions to some classes of semilinear differential equations and applications, Nonlinear Analysis, Volume 64, Issue 11, (2006), 2442–2453.

    Article  MATH  MathSciNet  Google Scholar 

  13. T. Diagana, Pseudo almost periodic solutions to some differential equations, Nonlinear Analysis, Volume 60, Issue 7, (2005), 1277–1286.

    Article  MATH  MathSciNet  Google Scholar 

  14. K. Ezzinbi, G.M. N’Guérékata, Almost automorphic solutions for some partial functional differential equations, Journal of Mathematical Analysis and Applications, Volume 328, (2007), 344–358.

    Article  MATH  MathSciNet  Google Scholar 

  15. A.M. Fink, Almost Periodic Differential Equations, Lecture Notes in Mathematics, Volume 377, Springer-Verlag, New York, 1974.

    Google Scholar 

  16. J.K. Hale and V. Lunel, Introduction to Functional Differential Equations, Springer-verlag, New-York/Berlin, 1993.

    Book  MATH  Google Scholar 

  17. J. Wu, Theory and Applications of Partial Functional Differential Equations, Springer-verlag, New-York/Berlin, 1996.

    Book  MATH  Google Scholar 

  18. C.Y. Zhang, Integration of vector-valued pseudo almost periodic functions, Proceedings of the American Mathematical Society, Volume 121, Issue 1, (1994), 167–174.

    Article  MATH  MathSciNet  Google Scholar 

  19. C.Y. Zhang, pseudo almost-periodic solutions of some Differential Equations, Journal of Mathematical Analysis and Applications, Volume 181, Issue 1, (1994), 62–76.

    Google Scholar 

  20. C.Y. Zhang, Pseudo almost periodic solutions of some differential equations II, Journal of Mathematical Analysis and Applications, Volume 192, Issue 2, (1995), 543–561.

    Article  MATH  MathSciNet  Google Scholar 

  21. L. Zhang and Y. Xu, Weighted pseudo almost periodic solutions for functional differential equations, Electronic Journal of Differential Equations, Volume 2007, Issue 146, (2007), 1–7.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Tlemcen, B.P.119, Tlemcen, Algérie

    Nadira Boukli-Hacene

  2. Faculté des Sciences Semlalia, Département de Mathématiques, Université Cadi Ayyad, B.P. 2390, Marrakech, Morocco

    Khalil Ezzinbi

Authors
  1. Nadira Boukli-Hacene
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Khalil Ezzinbi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nadira Boukli-Hacene .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Aref Jeribi

  2. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Mohamed Ali Hammami

  3. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Afif Masmoudi

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Boukli-Hacene, N., Ezzinbi, K. (2015). Existence of Weighted Pseudo Almost Periodic Solutions for some Partial Differential Equations with Delay. In: Jeribi, A., Hammami, M., Masmoudi, A. (eds) Applied Mathematics in Tunisia. Springer Proceedings in Mathematics & Statistics, vol 131. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18041-0_10

Download citation

Publish with us

Policies and ethics

Search

Navigation