• DocumentCode
    2832805
  • Title

    Positive solutions of singular nonlinear boundary value problems for 2n order

  • Author

    Kan, Yong-Zhi

  • Author_Institution
    Coll. of Sci., Liaoning Univ. of Technol., Jinzhou, China
  • fYear
    2012
  • fDate
    June 30 2012-July 2 2012
  • Firstpage
    493
  • Lastpage
    498
  • Abstract
    In this paper, we study two 2n-order singular nonlinear boundary value problems, where the nonlinear items may be singular at t=0 and t=1. By applying fixed-point index theorem in cones and the significant eigenvalue indexes, we prove existence of positive solutions. The results that we have obtained popularize and include some known results.
  • Keywords
    boundary-value problems; eigenvalues and eigenfunctions; 2n-order singular nonlinear boundary value problems; eigenvalue index; fixed-point index theorem; nonlinear items; positive solutions; Boundary value problems; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Equations; Indexes; boundary value problem; fixed-point index; positive solution; singular;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Science and Engineering (ICSSE), 2012 International Conference on
  • Conference_Location
    Dalian, Liaoning
  • Print_ISBN
    978-1-4673-0944-8
  • Electronic_ISBN
    978-1-4673-0943-1
  • Type

    conf

  • DOI
    10.1109/ICSSE.2012.6257234
  • Filename
    6257234