Publication Cover
Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 1
152
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations

, &
Pages 11-27 | Received 28 Aug 2009, Accepted 30 Sep 2009, Published online: 19 Jan 2010

References

  • Li , H , Huang , F and Li , J . 2001 . Composition of pseudo almost-periodic functions and semilinear differential equations . J. Math. Anal. Appl. , 255 : 436 – 446 .
  • Zhang , C . 1994 . Pseudo almost periodic solutions of some differential equations . J. Math. Anal. Appl. , 181 ( 1 ) : 62 – 76 .
  • Zhang , C . 2003 . Almost Periodic Type Functions and Ergodicity , Dordrecht : Science Press, Beijing; Kluwer Academic Publishers .
  • Liang , J , N'Guérékata , GM , Xiao , TJ and Zhang , J . 2009 . Some properties of pseudo-almost automorphic functions and applications to abstract differential equations . Nonlinear Anal. , 70 : 2731 – 2735 .
  • Liang , J , Zhang , J and Xiao , TJ . 2008 . Composition of pseudo almost automorphic and asymptotically almost automorphic functions . J. Math. Anal. Appl. , 340 : 1493 – 1499 .
  • Blot , J , Cieutat , P , N'Guérékata , G and Pennequin , D . 2008 . Superposition operators between various almost periodic function spaces and applications . Commun. Math. Anal. , 17 : 42 – 70 .
  • Cieutat , P , Fatajou , S and N'Guérékata , G . 2009 . Bounded and almost automorphic solutions of some nonlinear differential equation in Banach spaces . Nonlinear Anal. , 71 : 674 – 684 .
  • Corduneanu , C . 1968 . Almost Periodic Functions , New York : Wiley . Reprinted, Chelsea, New York, 1989
  • Yoshizawa , T . 1975 . Stability Theory and the Existence of Periodic Solutions and Almost Periodic solutions , New York : Springer .
  • Opial , Z . 1960 . Sur les solutions presque-priodiques d'une classe d'quations diffrentielles . (French), Ann. Polon. Math. , 9 : 157 – 181 .
  • Schwartz , L . 1976 . Topologie Générale et Analyse Fonctionnelle (French) , Paris : Hermann .
  • N'Guérékata , GM . 2001 . Almost Automorphic and Almost Periodic Functions in Abstract Spaces , New York : Kluwer Academic Publishers .
  • Xiao , TJ , Liang , J and Zhang , J . 2008 . Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces . Semigroup Forum , 76 : 518 – 524 .
  • Pazy , A . 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations , Vol. 44 , Berlin, New York : Springer-Verlag .
  • Haraux , A . 1991 . Systèmes dynamiques et dissipatifs et applications, Recherches en Mathématiques Appliquées , Paris : Masson .
  • de Figueiredo , DG . 1989 . The Ekeland Variational Principle with Applications and Detours, Lectures on Mathematics and Physics , Vol. 81 , Berlin : Published for the Tata Institute of Fundamental Research, Bombay, Springer-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.