数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 73-80.doi: 10.1016/S0252-9602(11)60209-9

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CONTROLLABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Bouzahir Hassane, 傅显隆   

  1. Faculty of Engineering, Al Hosn University, P.O. Box 38772 Abu Dhabi, UAE On leave from ERMAGIM, ENSA BP 1136, Agadir, Morocco|Department of Mathematics, East China Normal University, Shanghai 200241, China
  • 收稿日期:2007-07-10 修回日期:2009-05-25 出版日期:2011-01-20 发布日期:2011-01-20
  • 基金资助:

    The first author is supported by TWAS (04-150 RG/MATHS/AF/AC) and the postdoctoral programme of the "Agence Universitaire de la Francophonie''; The second author is supported by NSF of Shanghai (09ZR1408900)  and Shanghai Leading Academic Discipline Project (B407)

CONTROLLABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

 Bouzahir Hassane, FU Xian-Long   

  1. Faculty of Engineering, Al Hosn University, P.O. Box 38772 Abu Dhabi, UAE On leave from ERMAGIM, ENSA BP 1136, Agadir, Morocco|Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2007-07-10 Revised:2009-05-25 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    The first author is supported by TWAS (04-150 RG/MATHS/AF/AC) and the postdoctoral programme of the "Agence Universitaire de la Francophonie''; The second author is supported by NSF of Shanghai (09ZR1408900)  and Shanghai Leading Academic Discipline Project (B407)

摘要:

In this article, we give sufficient conditions for controllability of some partial neutral functional differential equations with infinite delay. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. The results are obtained using the integrated semigroups theory. An application is given to illustrate our abstract result.

关键词: Controllability, integrated semigroup, integral solution, infinity delay

Abstract:

In this article, we give sufficient conditions for controllability of some partial neutral functional differential equations with infinite delay. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. The results are obtained using the integrated semigroups theory. An application is given to illustrate our abstract result.

Key words: Controllability, integrated semigroup, integral solution, infinity delay

中图分类号: 

  • 34K30