• DocumentCode
    3575736
  • Title

    Existence and uniqueness of positive solution for 2nth order Lidstone BVPs on time scales

  • Author

    Yonghui Huang ; Eryong Cong ; Li Zhu

  • Author_Institution
    Dept. of Math., Harbin Univ., Harbin, China
  • fYear
    2014
  • Firstpage
    435
  • Lastpage
    438
  • Abstract
    In this paper, the existence and uniqueness of positive solution for 2nth order Lidstone boundary value problems on time scales are obtained by using mixed monotone method. When the time scale T is chosen as ℝ or ℤ, the problem is the corresponding continuous or discrete boundary value problem. Such boundary value problems play an important role in research of control theory.
  • Keywords
    boundary-value problems; Lidstone BVP; Lidstone boundary value problems; continuous boundary value problem; control theory; discrete boundary value problem; mixed monotone method; positive solution existence; positive solution uniqueness; time scale; Boundary value problems; Control theory; Differential equations; Electronic mail; Green´s function methods; Iterative methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Control (ICMC), 2014 International Conference on
  • Print_ISBN
    978-1-4799-2537-7
  • Type

    conf

  • DOI
    10.1109/ICMC.2014.7231594
  • Filename
    7231594