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Browsing by Subject "multi-point boundary value problem"

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    Item type:Article, Access status: Open Access ,
    Existence of three solutions for impulsive multi-point boundary value problems
    (2017) Bohner, Martin; Heidarkhani, Shapour; Salari, Amjad; Caristi, Giuseppe
    This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Multiple solutions for systems of multi-point boundary value problems
    (2013) Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
    In this paper, we establish the existence of at least three solutions of the multi-point boundary value system $\left\{\begin{array}{ll} -(\phi_{p_i}(u'_{i}))'=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n}),\ t\in(0,1),\\ u_{i}(0)=\sum_{j=1}^m a_ju_i(x_j),\ u_{i}(1)=\sum_{j=1}^m b_ju_i(x_j), \end{array}\right. i=1,\ldots,n.$ The approaches used are based on variational methods and critical point theory.