| 含下有界非线性项的一类弹性梁方程解的存在性与多解性 |
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| 引用本文： | 姚庆六.含下有界非线性项的一类弹性梁方程解的存在性与多解性[J].应用数学学报,2004,27(1):117-122. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,南京,210003 |
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| 摘 要： | 利用锥拉伸和锥压缩型的Krasnosel‘skii不动点定理，对于一类含下有界非线性项的四阶两点边值问题考察了解和正解的存在性和多解性，这类问题通常描述两端固定的弹性梁的形变。
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| 关 键 词： | 下有界非线性项 弹性梁方程 存在性 边值问题 多解性 正解 |
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF NONLINEAR ELASTIC BEAM EQUATIONS WITH BOUNDED-BELOW NONLINEARITY |
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| YAO QINGLIU.EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF NONLINEAR ELASTIC BEAM EQUATIONS WITH BOUNDED-BELOW NONLINEARITY[J].Acta Mathematicae Applicatae Sinica,2004,27(1):117-122. |
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| Authors: | YAO QINGLIU |
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| Abstract: | By using the Krasnosel'skii fixed point theorem of cone expansion-compression type, the existence and multiplicity of solutions and positive solutions are considered for a class of fourth-order two-point boundary value problems with bounded-below nonlinearity. This class of problems usually describes the deformations of elastic beams with both fixed points. |
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| Keywords: | Elastic beam equation two-point boundary value problem existence multiplicity |
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