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Banach空间中一类四阶边值问题的正解

Positive Solutions for a Class of Fourth Order Boundary Value Problems in Banach Space
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摘要 讨论Banach空间中微分方程u(4)(t)-2ku″(t)+k2 u(t)=λf(t,u(t))在边值条件u′(0)=u′(1)=u’’’(0)=u’’’(1)=θ下正解的存在性.通过构造一个特殊的锥,证明了上述边值问题正解的存在性和不存在性,最后给出一个例子说明主要结果. In this paper, we consider the fourth-- order boundary value problem u（4） （t） -- 2k u″ （t） ＋ k 2 u （t） = A f（ t, u （t）） for all ∈ （0,1） and subject to u＇（0）：u＇（1）- u″（0）：u″（1）=0. By constructing a special cone,the existence and nonexistence of positive solutions for the above problem in Banach space are studied, and an example is given to illustrate the main result.
作者 安道通 张培国
机构地区 菏泽市技术学院 菏泽学院数学系
出处 《德州学院学报》 2013年第6期25-27,33,共4页 Journal of Dezhou University
基金 国家自然科学基金(11126231) 山东省自然科学基金(ZR2011AQ008) 山东省教育厅科研计划项目(J11LA06)
关键词 BANACH空间 边值问题 不动点定量 Banach space boundary value problem fixed--point theorem
分类号 O175.8 [理学—基础数学]
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参考文献7

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二级参考文献12

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德州学院学报
2013年 第6期

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