• DocumentCode
    2515646
  • Title

    Existence theory for single and multiple positive periodic solutions to volterra integro-differential equations

  • Author

    Weng, Shiyou ; Zhu, Tianxiao ; Chen, Weizhong

  • Author_Institution
    Dept. of Basic of Course, Suzhou Vocational Univ., Suzhou, China
  • fYear
    2011
  • fDate
    23-25 May 2011
  • Firstpage
    1493
  • Lastpage
    1497
  • Abstract
    This paper presents a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous Volterra integro-differential equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.
  • Keywords
    Volterra equations; biology; integro-differential equations; biomathematical model; cones; existence theory; fixed point theorem; multiple positive periodic solution; nonautonomous Volterra integro-differential equations; single positive periodic solution; Biological system modeling; Differential equations; Equations; Mathematical model; Oscillators; Stability analysis; Volterra integro-differential equation; existence; fixed point theorem; positive periodic solution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (CCDC), 2011 Chinese
  • Conference_Location
    Mianyang
  • Print_ISBN
    978-1-4244-8737-0
  • Type

    conf

  • DOI
    10.1109/CCDC.2011.5968428
  • Filename
    5968428