• DocumentCode
    3110694
  • Title

    On second-order nonlinear integro-differential equations with deviating argument

  • Author

    Wang, Wen-Xia ; Liu, Xi-Lan

  • Author_Institution
    Dept. of Math., Taiyuan Teachers Coll., Taiyuan, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    1003
  • Lastpage
    1005
  • Abstract
    In this paper, by using the cone theory and the monotone iterative method, we investigate the existence of maximal and minimal solutions for second-order integro-differential equations of mixed type which nonlinearly involve derivative arguments and deviating arguments in a Banach space. Finally, we give an example of infinite system for scalar second-order integro-differential equations to illustrate our results.
  • Keywords
    Banach spaces; category theory; integro-differential equations; iterative methods; nonlinear differential equations; Banach space; cone theory; deviating argument; infinite system; monotone iterative method; second order nonlinear integro-differential equation; Differential equations; Equations; Facsimile; Information science; Integral equations; Iterative methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2011 International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-9440-8
  • Type

    conf

  • DOI
    10.1109/ICIST.2011.5765142
  • Filename
    5765142