| 线性增长条件下一类非线性梁方程解的存在性 |
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| 引用本文： | 姚庆六.线性增长条件下一类非线性梁方程解的存在性[J].大学数学,2007,23(5):41-44. |
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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： | 考察了一类非线性四阶两点边值问题的解的存在性.通过构造适当的Banach空间并且利用积分方程建立了一个存在定理.主要工具是Leray-Schauder非线性抉择.本文表明,如果非线性项在其定义域的某个有界子集上的增长速度是线性的,该问题可能存在解.
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| 关 键 词： | 常微分方程 边值问题 存在性 非线性抉择 |
| 文章编号： | 1672-1454（2007）05-0041-04 |
| 修稿时间： | 2006-01-16 |
Existence of Solution to a Class of Nonlinear Beam Equations under Condition of Linear Growth |
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| YAO Qing-liu.Existence of Solution to a Class of Nonlinear Beam Equations under Condition of Linear Growth[J].College Mathematics,2007,23(5):41-44. |
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| Authors: | YAO Qing-liu |
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| Institution: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China |
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| Abstract: | The existence of solution is considered for a class of nonlinear fourth-order two-point boundary value problems.By constructing suitable Banach space and applying integral equation,an existence theorem is established.Main tool is the Leray-Schauder nonlinear alternate.The existence theorem shows that the existence of solution is possible if the growth rate of nonlinear term is linear on a bounded subset of its domain. |
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| Keywords: | ordinary differential equation boundary value problem existence nonlinear alternate |
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