Positive solutions of multi-point boundary value problems with multivalued operators at resonance (Q1034976)

This paper is concerned with a class of multi-point boundary value problems with multi valued operators. Using a fixed point theorem for multi valued operators obtained by \textit{D. O'Regan} and \textit{M. Zima} [Nonlinear Anal., Theory Methods Appl. 68, No. 10 (A), 2879--2888 (2008; Zbl 1152.47041)], the authors establish the existence of positive solutions for such problem. Moreover, an example is provided to demonstrate the applications of this result.