| 一类三阶非线性微分方程周期边值问题解的存在性 |
| |
| 引用本文： | 邓正平,李永祥. 一类三阶非线性微分方程周期边值问题解的存在性[J]. 四川大学学报(自然科学版), 2019, 56(5): 792-796 |
| |
| 作者姓名： | 邓正平 李永祥 |
| |
| 作者单位： | 西北师范大学数学与统计学院,西北师范大学数学与统计学院 |
| |
| 基金项目： | 国家自然科学基金(11261053, 11661071) |
| |
| 摘 要： | 本文讨论如下一般三阶常微分方程周期边值问题■解的存在性,其中■是三阶常微分算子,f:[0,w]×R~3→R连续.在非线性项f满足适当的增长条件下,本文应用Fourier分析法与Leray-Schauder不动点定理获得了该问题解的存在唯一性.
|
| 关 键 词： | 三阶周期边值问题 Fourier级数 Leray-Schauder~不动点定理 |
| 收稿时间： | 2018-10-22 |
| 修稿时间： | 2018-12-13 |
Existence of solutions for a class of third-order nonlinear ordinary differential equations with periodic boundary value |
| |
| DENG Zheng-Ping and LI Yong-Xiang. Existence of solutions for a class of third-order nonlinear ordinary differential equations with periodic boundary value[J]. Journal of Sichuan University (Natural Science Edition), 2019, 56(5): 792-796 |
| |
| Authors: | DENG Zheng-Ping and LI Yong-Xiang |
| |
| Affiliation: | College of Mathematics and Statistics, Northwest Normal University and College of Mathematics and Statistics, Northwest Normal University |
| |
| Abstract: | In this paper, the existence of solutions for a class of third-order ordinary differential equation with periodic boundary value is considered. By applying the Fourier~analysis method and Leray-Schauder fixed point theorem, the existence and uniqueness of the solutions of the equation are obtained under the nonlinear term satisfies the proper growth conditions. |
| |
| Keywords: | Third-order periodic boundary value problem Fourier series Leray-Schauder fixed point theorem |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《四川大学学报(自然科学版)》下载全文 |
