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Positive solutions of multi-point boundary value problems with multivalued operators at resonance. (English) Zbl 1185.34019

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 D. O’Regan and 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.

##### MSC:
 34A60 Differential inclusions 34B10 Nonlocal and multipoint boundary value problems for ODE 34B15 Nonlinear boundary value problems for ODE 34B45 Boundary value problems for ODE on graphs and networks 47N20 Applications of operator theory to differential and integral equations 34B18 Positive solutions of nonlinear boundary value problems for ODE
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