| Nonexistence and Existence of Multiple Positive Solutions for Superlinear Three-point Boundary Value Problems via Index Theory |
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| 作者单位： | Department of Mathematics，National University of Ireland，Galway，Ireland，Department of Mathematical Science，Florida Institute of Technology，Melbourne，Florida 32901，USA |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No. 10571111） and the fund of Shandong Education Committee （J07WH08）. |
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| 摘 要： | This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f（t, x, y） is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f（t, x,y） is superlinear in x at ＋∞.
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| 关 键 词： | 圆锥体 三点边界价值问题 指数 数学分析 |
Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory |
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| Authors: | Bao-qiang Yan Donal O’Regan Ravi P Agarwal |
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| Institution: | (1) Department of Mathematics, Shandong Normal University, Jinan, 250014, China;(2) Department of Mathematics, National University of Ireland, Galway, Ireland;(3) Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901, USA |
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| Abstract: | This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when
the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear
term f(t, x, y) is superlinear in χ at +∞.
Supported by the National Natural Science Foundation of China (No. 10571111) and the fund of Shandong Education Committee
(J07WH08). |
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| Keywords: | Three-point boundary value problems cone fixed point index |
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