Abstract
The purpose of this paper is to investigate the existence of N symmetric positive solutions for Lidstone boundary value problem: (1) (−1) nw (2n)(t)=f(t,w(t)), 0⩽t⩽1, w (2i)(0)=w (2i)(1)=0, 0⩽i⩽n−1. By making use of monotone iterative technique, we established some new results. Particularly, we proved that the Lidstone boundary value problem has N symmetric positive solutions under suitable conditions, and these solutions are obtained by iteration procedures, where N is a natural number.
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