Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces

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• 作者：Mostafa Adimy (1) (2)
  Khalil Ezzinbi (3)
  Catherine Marquet (4)
  
• 关键词：Partial functional differential equations ; Infinite delay ; Fading memory spaces ; Exponential dichotomy ; Ergodic functions ; Weighted pseudo almost periodic functions ; 34K30 ; 34K14 ; 34K20 ; 47D06
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2014
• 出版时间：February 2014
• 年：2014
• 卷：44
• 期：1-2
• 页码：147-165
• 全文大小：653 KB
• 作者单位：Mostafa Adimy (1) (2)
  Khalil Ezzinbi (3)
  Catherine Marquet (4)
  
  1. Dracula team, INRIA Rh么ne-Alpes, Lyon, France
  2. Institut Camille Jordan, UMR 5208, Universit茅 Lyon 1, 43 Bd. du 11 novembre 1918, 69200, Villeurbanne cedex, France
  3. D茅partement de Math茅matiques, Facult茅 des Sciences Semlalia, Universit茅 Cadi Ayyad, B.P. 2390, Marrakesh, Morocco
  4. Laboratoire de Math茅matiques Appliqu茅es, CNRS UMR 5142, Universit茅 de Pau, Avenue de l鈥橴niversit茅, 64000, Pau, France
  
• ISSN：1865-2085

文摘

We use a new concept of weighted ergodic function based on the measure theory to investigate the existence and uniqueness of weighted pseudo almost periodic solution for a class of partial functional differential equations with infinite delay in fading memory spaces. We illustrate our theoretical results by studying some Lotka-Voltera reaction-diffusion systems with infinite delay.