| 高阶微分方程边值问题多个正解存在性 |
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| 引用本文： | 王斌,刘秀君,陈洪霞,仇计清. 高阶微分方程边值问题多个正解存在性[J]. 河北科技大学学报, 2006, 27(2): 114-118,132 |
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| 作者姓名： | 王斌 刘秀君 陈洪霞 仇计清 |
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| 作者单位： | 河北化工医药职业技术学院基础部,河北石家庄,050031;河北科技大学理学院,河北石家庄050018 |
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| 摘 要： | 利用5个泛函的不动点定理,证明了2n阶微分方程边值问题y(2n)=f(t,y,y″,…,y(2(n-2)),y(2(n-1))),0≤t≤1,y(2i+1)(0)=y(2i)(1)=0,0≤i≤n-1的3个单调正解的存在性。
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| 关 键 词： | Green函数 5个泛函不动点定理 锥 正解 |
| 文章编号： | 1008-1542(2006)02-0114-05 |
| 收稿时间： | 2005-10-18 |
| 修稿时间： | 2005-10-18 |
Existence of multiple positive solutions for high-order boundary value problems |
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| WANG Bin,LIU Xiu-jun,CHEN Hong-xia and QIU Ji-qing. Existence of multiple positive solutions for high-order boundary value problems[J]. Journal of Hebei University of Science and Technology, 2006, 27(2): 114-118,132 |
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| Authors: | WANG Bin LIU Xiu-jun CHEN Hong-xia QIU Ji-qing |
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| Affiliation: | Department of Basic Courses,Hebei Professional and Technological College of Chemical and Pharmaceutical Engineering,Shijiazhuang Hebei 050031,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China |
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| Abstract: | By the five functionals fixed point theorem,we prove that there are at least three monotone positive solutions for 2n-order boundary value problem y~((2n))=f(t,y,y~″,…,y~((2(n-2))),y~((2(n-1)))),0≤t≤1,y~((2i+1))(0)=y~((2i))(1)=0,0≤i≤n-1. |
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| Keywords: | Green's function five functionals fixed point theorem cone positive solution |
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