Existence of three solutions for sytems of multi-point boundary value problems

Zengji Du, Xuzhou Normal University, Xuzhou, Jiangsu, P. R. China
Lingju Kong, The University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 10., pp. 1-17.

Communicated by P. Eloe.Received on 2009-06-29
Appeared on 2009-10-01

Abstract: By using a variational approach, we obtain some sufficient conditions for the existence of three classical solutions of a boundary value problem consisting of a system of differential equations and some multi-point boundary conditions. Applications of our results are discussed. Our results extend some related work in the literature.


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