| Banach空间中一类四阶两点边值问题的正解的存在性(英文) |
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| 引用本文： | 姚晓闺,彭宜青.Banach空间中一类四阶两点边值问题的正解的存在性(英文)[J].曲阜师范大学学报,2014(4):43-48. |
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| 作者姓名： | 姚晓闺 彭宜青 |
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| 作者单位： | 中国人民解放军陆军军官学院基础部数学教研室; |
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| 摘 要： | 利用Darbo不动点定理,研究了Banach空间中一类四阶两点边值问题x(4)(t)=f(t,u(t),u″(t)),t∈I,x(0)=x′(1)=x″(0)=x(1)=θ,正解的存在性.并给出了例子用来阐明该文的结果.
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| 关 键 词： | Banach 空间 正解 不动点 四阶两点边值问题 |
The Existence of Positive Solutions for a Fourth-order Two-point Boundary Value Problem in Banach Spaces |
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| YAO Xiao-gui,PENG Yi-qing.The Existence of Positive Solutions for a Fourth-order Two-point Boundary Value Problem in Banach Spaces[J].Journal of Qufu Normal University(Natural Science),2014(4):43-48. |
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| Authors: | YAO Xiao-gui PENG Yi-qing |
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| Institution: | (Mathematical Section,Department of Science Course,Army officer Academy of PLA,230031,Hefei,Anhui,PRC) |
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| Abstract: | In this paper,by using the Darbo-fixed-point theorem,the existence of positive solution for the fourth-order two-point boundary value problem x（4）（t）=f（t,u（t）,u″（t））,t∈I, x（0）=x′（1）=x″（0）=x（1）=θin Banach spaceE is studied,whereI=0,1],f∈CI×E×E,E].θis the zero element ofE.As an applica-tion,one example to demonstrate our results is given. |
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| Keywords: | Banach space positive solution fixed point fourth-order two-point boundary value problem |
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