| Banach空间二阶非线性积-微分方程边值问题正解的存在性 |
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| 引用本文： | 钱媛媛. Banach空间二阶非线性积-微分方程边值问题正解的存在性[J]. 山西大学学报(自然科学版), 2011, 34(4): 563-567 |
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| 作者姓名： | 钱媛媛 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州,730070 |
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| 基金项目： | 甘肃省自然科学基金(0710RJZA103); 西北师范大学科技创新工程项目(NWNU-KJCXGC-3-47) |
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| 摘 要： | 讨论了有序Banach空间E中的非线性二阶积-微分方程边值问题—u(t)=f(t,u(t),(Su)(t)),t∈I,u(0)=u'(1)=θ正解的存在性,用非紧性测度的估计技巧与凝聚映射的不动点指数理论获得了该问题正解的存在性结果.
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| 关 键 词： | 积-微分方程 Banach空间边值问题 闭凸锥 凝聚映射 不动点指数 |
Existence of Positive Solutions for Nonlinear Second Order Boundary Value Problems for Integro-differential Equations in Banach Spaces |
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| QIAN Yuan-yuan. Existence of Positive Solutions for Nonlinear Second Order Boundary Value Problems for Integro-differential Equations in Banach Spaces[J]. Journal of Shanxi University (Natural Science Edit, 2011, 34(4): 563-567 |
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| Authors: | QIAN Yuan-yuan |
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| Affiliation: | QIAN Yuan-yuan(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | |
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| Keywords: | integro-differential equation boundary value problem in Banach closed convex cone con-densing mapping fixed point index |
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