| 含有2个参数的非线性四阶边值问题解的一个存在定理 |
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| 引用本文： | 姚庆六.含有2个参数的非线性四阶边值问题解的一个存在定理[J].云南大学学报(自然科学版),2007,29(6):541-545. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | {{if article.pacs && article.pacs != '}}PACS: {{article.pacs}}{{/if}} |
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| 摘 要： | 通过选择适当的Banach空间并且利用Leray-Schauder非线性抉择,对含有2个参数及各阶导数一类非线性四阶两点边值问题建立了一个存在定理.在此项工作中,非线性项满足某种函数型线性增长条件.在材料力学上,这类问题描述了2个端点被简单支撑的弹性梁的形变.
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| 关 键 词： | 四阶常微分方程 两点边值问题 非线性 存在性 |
| 文章编号： | 0258-7971（2007）06-0541-05 |
| 修稿时间： | 2006-09-18 |
An existence theorem of solution to nonlinear fourth-order boundary value problems with two parameters |
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| YAO Qing-liu.An existence theorem of solution to nonlinear fourth-order boundary value problems with two parameters[J].Journal of Yunnan University(Natural Sciences),2007,29(6):541-545. |
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| Authors: | YAO Qing-liu |
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| Institution: | {{if article.pacs && article.pacs != '}}PACS: {{article.pacs}}{{/if}} |
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| Abstract: | By choosing suitable Banach space and using Leray-Schauder nonlinear alternate,an existence theorem is established for a class of nonlinear fourth-order boundary value problems with two parameters and all order derivatives.In this work,the nonlinear term satisfies a linear growth condition of function type.In material mechanics,the class of problems describes the deformations of an elastic beam simply supported at both ends. |
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| Keywords: | fourth-order ordinary differential equation two-point boundary value problem nonlinearity existence |
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