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| 一类不连续三阶两点边值问题的变号解 | |
| 引用本文： | 姚庆六. 一类不连续三阶两点边值问题的变号解[J]. 云南大学学报(自然科学版), 2010, 32(2): 136-139 |
| 作者姓名： | 姚庆六 |
| 作者单位： | 南京财经大学应用数学系, 江苏南京 210003 |
| 摘 要： | 考察了一类含有一、二阶导数的奇异三阶两点边值问题的变号解,其中非线性项为强Caratheodory函数.通过估计非线性项的高度函数的积分建立了一个新的存在定理.主要工具是Hammerstein积分方程及Shaud-er不动点定理. |
| 关 键 词： | 奇异常微分方程 边值问题 变号解 存在性 |
| 收稿时间： | 2009-05-18 |
Sign-changing solution of a class of discontinuous third-order two-point boundary value problems |
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| YAO Qing-liu. Sign-changing solution of a class of discontinuous third-order two-point boundary value problems[J]. Journal of Yunnan University(Natural Sciences), 2010, 32(2): 136-139 | |
| Authors: | YAO Qing-liu |
| Affiliation: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China |
| Abstract: | The sign-changing solution is considered for a class of singular third-order two-point boundary value problems with first and second derivatives,where the nonlinear term is a strong Caratheodory function.By estimating integration of the height function of nonlinear term,a new existence theorem is established.The main tools are the Hammerstein integral equation and the Schauder fixed point theorem. |
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