| 半无穷区间广义Sturm-Liouville边值问题的多个正解存在性 |
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| 引用本文： | 邢美红,张克梅,高合理.半无穷区间广义Sturm-Liouville边值问题的多个正解存在性[J].数学物理学报(A辑),2009,29(4):929-939. |
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| 作者姓名： | 邢美红 张克梅 高合理 |
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| 作者单位： | 邢美红,张克梅(曲阜师范大学数学科学学院,山东曲阜,273165);高合理(滨州学院教学与信息科学系,山东滨州,256603) |
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| 摘 要： | 该文利用Leggett-Williams 不动点定理, 研究半无穷区间边值问题
(p(t)x'(t))'+Φ(t) f (t, x(t), x'(t))=0, t∈0,+∞),
α1x(0)-β1limt→0+ p(t) x'(t)=a1,
α2limt→+∞ x'(t)+β2limt→+∞ p(t) x'(t)=a2.
多个正解的存在性.
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| 关 键 词： | 正解 不动点 二阶边值问题 |
| 收稿时间： | 2007-10-11 |
| 修稿时间： | 2008-12-21 |
Existence of Multiple Positive Solutions for General Sturm-Liouville Boundary Value Problems on the Half-line |
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| Institution: | (1.Department of Mathematics, Qufu Normal University, Shandong Qufu 273165, 2.Department of Mathematics and Information Science, Binzhou University, Shandong Binzhou 256603) |
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| Abstract: | In this paper, by using the Leggett-Williams fixed point theorem, the authors discuss the existence of at least three solutions for a class of second order boundary value problems on the half-line as follows
(p(t)x'(t))'+Φ(t) f (t, x(t), x'(t))=0, t ∈ 0, +∞),
α1x(0)-β1limt →0+ p(t) x'(t)=a1,
α2limt →+∞ x'(t)+β2limt →+∞ p(t) x'(t)=a2. |
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| Keywords: | Positive solutionzz Fixed pointzz Second order boundary value problemzz |
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