| 二阶四点共振边值问题多解的存在性 |
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| 引用本文： | 庞慧慧,葛渭高.二阶四点共振边值问题多解的存在性[J].数学学报,2007,50(3):557-566. |
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| 作者姓名： | 庞慧慧 葛渭高 |
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| 作者单位： | 北京理工大学理学院数学系，北京理工大学理学院数学系 北京 100081，北京 100081 |
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| 基金项目： | 国家自然科学基金(10671012) |
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| 摘 要： | 本文考虑二阶四点共振边值问题x″(t)=f(t,x(t),x′(t)),0＜t＜1,x(0)= ax(ξ),x(1)=bx(η)．通过建立上下解方法,应用Mawhin重合度理论,获得了一些多解性结果．
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| 关 键 词： | 上下解 四点边值问题 共振 |
| 文章编号： | 0583-1431（2007）03-0557-10 |
| 收稿时间： | 2005-11-9 |
| 修稿时间： | 2005-11-09 |
Existence and Multiplicity of Solutions for Four-Point Boundary Value Problems at Resonance |
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| Hui Hui PANG, Wei Gao GE.Existence and Multiplicity of Solutions for Four-Point Boundary Value Problems at Resonance[J].Acta Mathematica Sinica,2007,50(3):557-566. |
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| Authors: | Hui Hui PANG Wei Gao GE |
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| Institution: | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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| Abstract: | In this paper,we deal with the second-order four-point boundary value problem.By applying the coincidence degree theory,the method of lower and upper solutions is established.Then some existence theorems for BVPs at resonance are proved. |
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| Keywords: | upper and lower solutions four-point boundary value problem at resonance |
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