• DocumentCode
    553101
  • Title

    Almost periodic mild solutions to semilinear fuzzy differential equations

  • Author

    Jinghuai Liu

  • Author_Institution
    Dept. of Math. & Phys., Zhengzhou Inst. of Aeronaut. Ind. Manage., Zhengzhou, China
  • Volume
    2
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    774
  • Lastpage
    777
  • Abstract
    In this paper, we consider the semilinear fuzzy differential equation x´(t) = Ax(t)⊕ f(t, x(t)), t ∈ R, in a fuzzy-number kind space X, where A is the infinitesimal generator of an exponentially stable C0-semigroup {T(t)}t≥0 on X. Under suitable conditions on f, we prove the existence and uniqueness of an almost periodic mild solution to the semilinear fuzzy differential equation.
  • Keywords
    differential equations; fuzzy set theory; fuzzy-number; periodic mild solutions; semilinear fuzzy differential equations; Differential equations; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Generators;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-61284-180-9
  • Type

    conf

  • DOI
    10.1109/FSKD.2011.6019675
  • Filename
    6019675