Multiple solutions for fourth order $m$-point boundary value problems with sign-changing nonlinearity

Haitao Li, Shandong University, Jinan, P. R. China
Yansheng Liu, Shandong Normal University, Jinan, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 55. (2010), pp. 1-10.

Communicated by J. R. Graef.Received on 2009-12-22
Appeared on 2010-09-15

Abstract: Using a fixed point theorem in ordered Banach spaces with lattice structure founded by Liu and Sun, this paper investigates the multiplicity of nontrivial solutions for fourth order $m$-point boundary value problems with sign-changing nonlinearity. Our results are new and improve on those in the literature.


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