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Regular Papers

A critical points approach to multiplicity results for multi-point boundary value problems

, &
Pages 1909-1925 | Received 08 Sep 2010, Accepted 13 Oct 2010, Published online: 15 Feb 2011
 

Abstract

In this article, we prove the existence of at least three classical solutions to the multi-point boundary value system

for i = 1, … , n. Our main tool is a recent three critical points theorem of B. Ricceri.

AMS Subject Classifications::

Acknowledgments

The authors would like to thank the referee for a very careful reading of this manuscript and for making good suggestions for the improvement of this article. Research by S. Heidarkhani was supported in part by IPM Grant No. 89350020.

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