• DocumentCode
    526341
  • Title

    Notice of Retraction
    The countably many positive solutions of nonlinear singular boundary value problems with sign changing nonlinearities

  • Author

    Jian Wang

  • Author_Institution
    Sch. of Sci., Shandong Univ. of Technol., Zibo, China
  • Volume
    7
  • fYear
    2010
  • fDate
    9-11 July 2010
  • Firstpage
    42
  • Lastpage
    44
  • Abstract
    Notice of Retraction

    After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

    We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

    The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

    In this paper, we study the existence of positive solutions for a class nonlinear singular boundary value systems { (φp1(u´))´+a1(t)f(u, v)=0, 0<;t<;1, (φp2(v´))´+a2(t)g(u, v)=0, 0<;t<;1, u(0)=u´(|1)=0, u(0)=u´(1)=0, φpi(s) = |s|pi-2s, pi>1(i=1,2). We obtain the existence of infinitely many positive solutions by using fixed-point index theory. Especially, the nonlinear terms f; g are allowed to change sign. The conclusions in this paper essentially extend and improve the known results.
  • Keywords
    boundary-value problems; control nonlinearities; nonlinear control systems; fixed-point index theory; nonlinear singular boundary value problems; sign changing nonlinearities; Cone; Fixed point index; Nonlinear boundary value problems; Positive solution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE International Conference on
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-1-4244-5537-9
  • Type

    conf

  • DOI
    10.1109/ICCSIT.2010.5563626
  • Filename
    5563626