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| 上下解方法与三点边值共振问题的可解性 | |
| 引用本文： | 徐玲.上下解方法与三点边值共振问题的可解性[J].山东大学学报(理学版),2008,43(5):66-70. |
| 作者姓名： | 徐玲 |
| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
| 摘 要： | 运用紧向量场方程的解集连通理论为二阶三点边值共振问题 u″(t)=f(t,u(t),u′(t)),t∈［0, 1］, u′(0)=0,u(1)=u(η) 发展上下解方法, 其中常数η∈(0, 1), 函数f:［0, 1］×R2→R连续且满足Nagumo条件。 |
| 关 键 词： | 连通集 上下解 共振 存在性 |
| 文章编号： | 1671-9352(2008)05-0066-05 |
| 修稿时间： | 2008年1月9日 |
Methods of lower and upper solutions and the solvability of a three-point boundary value problem at resonance |
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| XU Ling.Methods of lower and upper solutions and the solvability of a three-point boundary value problem at resonance[J].Journal of Shandong University,2008,43(5):66-70. | |
| Authors: | XU Ling |
| Institution: | College of Mathematics and Information Science, Northwest Normal University,Lanzhou 730070, Gansu, China |
| Abstract: | The methods of lower and upper solutions for a second order three-point boundary value problem at resonance u″(t)=f(t, u(t), u′(t)), t∈［0, 1］, u′(0)=0, u(1)=u(η) were developed by using the connectivity properties of the solution sets of parameterized families of compact vector fields, where η∈(0, 1), f:［0, 1］×R2→R is continuous and satisfies the Nagumo condition. |
| Keywords: | connected sets lower and upper solutions resonance existence |
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