MULTIPLE POSITIVE SOLUTIONS OF SINGULAR THIRD-ORDER PERIODIC BOUNDARY VALUE PROBLEM

This paper deals with the singular nonlinear third-order periodic boundary value problem u′″ + ρau = f(t,u), 0 ≤ t ≤ 2π, with u(i)(0) = u(i)(2π), i = 0, 1, 2, where ρ∈ (0, 1/√3) and f is singular at t = 0, t = 1 and u = 0. Under suitable weaker conditions than those of [1], it is proved by constructing a special cone in C[0, 2π] and employing the fixed point index theory that the problem has at least one or at least two positive solutions.

作 者： Sun Jingxian LIU Yansheng   作者單位： Sun Jingxian(Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China)

LIU Yansheng(Department of Mathematics, Shandong Normal University, Jinan 250014, China) 

刊 名： 數(shù)學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(1)  分類號：   關鍵詞： Singular boundary value problem   third-order differential system   positive solution  

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