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MULTIPLE POSITIVE SOLUTIONS OF SINGU

時(shí)間:2023-04-28 04:14:31 數(shù)理化學(xué)論文 我要投稿
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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′″ + ρa(bǔ)u = 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(xué)物理學(xué)報(bào)(英文版)  ISTIC SCI 英文刊名: ACTA MATHEMATICA SCIENTIA  年,卷(期): 2005 25(1)  分類(lèi)號(hào):   關(guān)鍵詞: Singular boundary value problem   third-order differential system   positive solution  

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