Positive solutions of 2mth-order boundary value problems

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/41505

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題名:	Positive solutions of 2mth-order boundary value problems
作者:	錢傳仁;Chyan, Chuan-jen;Henderson, J.
貢獻者:	淡江大學數學學系
關鍵詞:	Positive solution;Boundary value problem;Cone
日期:	2002-08-01
上傳時間:	2010-01-28 07:42:24 (UTC+8)
出版者:	Elsevier
摘要:	We study the existence of positive solutions of the differential equation (−1)my(2m) (t) = f(t, y(t), y″(t),…, y(2(m−1)) (t)) with the boundary condition y(2i)(0) = 0 = y(2i)(1), 0 ≤ i ≤ m − 1, and y(2i)(0) = 0 = y(2i+1)(1), 0 ≤ i ≤ m − 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by an application of a fixed-point theorem in a cone.
關聯:	Applied Mathematics Letters 15(6), pp.767-774
DOI:	10.1016/S0893-9659(02)00040-X
顯示於類別:	[數學學系暨研究所] 期刊論文

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