| 一类四阶常微分方程周期边值问题的可解性 |
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| 引用本文： | 张丽娟,李永祥.一类四阶常微分方程周期边值问题的可解性[J].吉林大学学报(理学版),2022,60(2):213-218. |
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| 作者姓名： | 张丽娟 李永祥 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 用Fourier分析法与Leray-Schauder不动点定理, 讨论四阶周期边值问题解的存在性与唯一性, 在非线性项f(x,u,v)满足适当的不等式条件下, 获得了该问题解的存在性与唯一性.
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| 关 键 词： | 四阶常微分方程 Fourier分析法 Leray-Schauder不动点定理 |
| 收稿时间： | 2021-04-30 |
Solvability of Periodic Boundary Value Problems for a Class of Fourth-Order Ordinary Differential Equations |
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| ZHANG Lijuan,LI Yongxiang.Solvability of Periodic Boundary Value Problems for a Class of Fourth-Order Ordinary Differential Equations[J].Journal of Jilin University: Sci Ed,2022,60(2):213-218. |
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| Authors: | ZHANG Lijuan LI Yongxiang |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using Fourier analysis and Leray-Schauder fixed point theorem, we discuss the existence and uniqueness of solutions of the fourth-order periodic boundary value problem. The existence and uniqueness of the solution of the problem are obtained under the condition that the nonlinear term f(x,u,v) satisfies an appropriate inequality. |
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| Keywords: | fourth-order ordinary differential equation Fourier analysis Leray-Schauder fixed point theorem |
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