Title: Remarks on multiple symmetric positive solutions of higher-order difference equations with Lidstone boundary conditions

Authors: Xueyan Liu, Binggen Zhang

Addresses: Department of Mathematics, Ocean University of China, Qingdao 266071, PR China. ' Department of Mathematics, Ocean University of China, Qingdao 266071, PR China

Abstract: This paper is concerned with the existence of multiple symmetric positive solutions for higher-order difference equations with Lidstone boundary conditions. The main contribution is correcting the mistake on the definition of the Green|s functions in related papers about this subject and giving the correct results for mentioned Boundary Value Problems (BVPs).

Keywords: Green|s functions; boundary value problems; BVP; difference equations; Lidstone boundary conditions; multiple symmetric positive solutions.

DOI: 10.1504/IJDSDE.2007.013746

International Journal of Dynamical Systems and Differential Equations, 2007 Vol.1 No.1, pp.68 - 74

Published online: 23 May 2007 *

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