@Article{Graef2013,
author = "Graef, John R. and Heidarkhani, Shapour and Kong, Lingju",
title = "Multiple solutions for systems of multi-point boundary value problems",
journal = "Opuscula Math.",
year = "2013",
volume = "33",
number = "2",
pages = "293--306",
doi = "http://dx.doi.org/10.7494/OpMath.2013.33.2.293",
url = "http://dx.doi.org/10.7494/OpMath.2013.33.2.293",
abstract = "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.",
keywords = "multiple solutions, multi-point boundary value problem, critical point theory",
issn = "1232-9274"
}