| 四阶差分方程边值问题解的多重性 |
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| 引用本文： | 郝惠琴,张建文. 四阶差分方程边值问题解的多重性[J]. 数学的实践与认识, 2009, 39(20) |
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| 作者姓名： | 郝惠琴 张建文 |
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| 作者单位： | 太原理工大学数学系,山西,太原,030024 |
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| 摘 要： | 利用一个临界点存在性定理,结合上下解方法,证明了一类非线性四阶差分方程边值问题至少有四个解.
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| 关 键 词： | 差分方程 上下解 锥 |
Multiplicity of Solutions for a Fourth Order Difference Equation Boundary Problem |
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| HAO Hui-qin,ZHANG Jian-wen. Multiplicity of Solutions for a Fourth Order Difference Equation Boundary Problem[J]. Mathematics in Practice and Theory, 2009, 39(20) |
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| Authors: | HAO Hui-qin ZHANG Jian-wen |
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| Abstract: | By using the critical point existence theorem, we prove the fourth-order nonlinear difference equation boundary problem has at least four solutions, combining the method of the supersolution and subsolution. |
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| Keywords: | difference equation supersolution and subsolution cone |
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