Publication Cover
Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 2
87
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Positive almost automorphic solutions for a class of non-linear delay integral equations

, &
Pages 231-242 | Received 16 Sep 2008, Accepted 29 Oct 2008, Published online: 21 May 2009

References

  • Cooke , KL and Kaplan , JL . 1976 . A periodicity threshold theorem for epidemics and population growth . Math. Biosci. , 31 : 87 – 104 .
  • Fink , AM and Gatica , JA . 1990 . Positive almost periodic solutions of some delay integral equations . J. Diff. Eqns , 83 : 166 – 178 .
  • Torrejón , R . 1993 . Positive almost periodic solutions of a state-dependent delay nonlinear integral equation . Nonlin. Anal. , 20 : 1383 – 1416 .
  • Ezzinbi , K and Hachimi , MA . 1996 . Existence of positive almost periodic solutions of functional equations via Hilbert's projective metric . Nonlin. Anal. , 26 : 1169 – 1176 .
  • Ait Dads , E and Ezzinbi , K . 1997 . Almost periodic solution for some neutral non-linear integral equation . Nonlin. Anal. , 28 : 1479 – 1489 .
  • Ait Dads , E and Ezzinbi , K . 2000 . Existence of positive pseudo-almost-periodic solution for some nonlinear infinite delay integral equations arising in epidemic problems . Nonlin. Anal. , 41 : 1 – 13 .
  • H.S. Ding, T.J. Xiao, and J. Liang, Existence of positive almost automorphic solutions to nonlinear delay integral equations, Nonlin. Anal. 70 (2009), pp. 2216–2231
  • Ding , HS , Liang , J , N'Guérékata , GM and Xiao , TJ . 2008 . Existence of positive almost automorphic solutions to neutral non-linear integral equations . Nonlin. Anal. , 69 : 1188 – 1199 .
  • E. Ait Dads, P. Cieutat, and L. Lhachimi, Positive pseudo almost periodic solutions for some non-linear infinite delay integral equations, Math. Comput. Model. 49 (2009), pp. 721–739
  • Baroun , M , Maniar , L and N'Guérékata , GM . 2008 . Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations . Nonlin. Anal. , 69 : 2114 – 2124 .
  • Diagana , T and N'Guérékata , GM . 2007 . Almost automorphic solutions to some classes of partial evolution equations . Appl. Math. Lett. , 20 : 462 – 466 .
  • Diagana , T , Henriquez , HR and Hernández , EM . 2008 . Almost automorphic mild solutions to some partial neutral functional-differential equations and applications . Nonlin. Anal. , 69 : 1485 – 1493 .
  • T. Diagana, Existence of pseudo-almost automorphic solutions to some abstract differential equations with S p -pseudo-almost automorphic coefficients, Nonlin. Anal. 70 (2009), pp. 3781–3790
  • N'Guérékata , GM . 2001 . Almost Automorphic Functions and Almost Periodic Functions in Abstract Spaces , New York, Berlin, Moscow : Kluwer Academic/Plenum Publishers .
  • N'Guérékata , GM . 2005 . Topics in Almost Automorphy , New York : Springer-Verlag .
  • Deimling , K . 1985 . Nonlinear Functional Analysis , New York : Springer-Verlag .
  • Li , K , Liang , J and Xiao , TJ . 2007 . New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation . J. Math. Anal. Appl. , 328 : 753 – 766 .

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.