| 二阶微分方程三点边值问题变号解的存在性(英文) |
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| 引用本文： | 李春燕,苏亚娟. 二阶微分方程三点边值问题变号解的存在性(英文)[J]. 数学季刊, 2012, 0(3): 458-466 |
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| 作者姓名： | 李春燕 苏亚娟 |
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| 作者单位： | Department of Mathematics, Xinxiang College |
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| 基金项目： | Supported by the Foundation of the Office of Science and Technology of Henan(122102310373);Supported by the NSF of Education Department of Henan Province(12B110025) |
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| 摘 要： | In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ’’(t) + f(y) = 0, t ∈ [0, 1], y’ (0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, f : R → R is continuous, strictly increasing and f(0) = 0.
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| 关 键 词： | three-point boundary value problem sign-changing solution the fixed-point index theory |
Existence of Sign-changing Solution for Three-point Boundary Value Problems |
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| LI Chun-yan, SU Ya-juan. Existence of Sign-changing Solution for Three-point Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(3): 458-466 |
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| Authors: | LI Chun-yan SU Ya-juan |
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| Affiliation: | (Department of Mathematics, Xinxiang College, Xinxiang 453000, China ) |
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