| 二阶非线性积-微分方程边值问题正解的存在性与多解性 |
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| 引用本文： | 钱媛媛,李永祥.二阶非线性积-微分方程边值问题正解的存在性与多解性[J].河北大学学报(自然科学版),2011,31(5):456-461. |
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| 作者姓名： | 钱媛媛 李永祥 |
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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资助项目(0710RJZA103); 西北师范大学科技创新项目(NWNU-KJCXGC-3-47) |
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| 摘 要： | 对非线性二阶积-微分方程边值问题正解的存在性进行了研究,利用锥压缩与锥拉伸不动点定理获得该问题正解的存在性和多个正解的存在性.
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| 关 键 词： | 积-微分方程 正解 凸锥 锥映射不动点定理 |
Existence and Multiplicity of Positive Solutions for Nonlinear Second Order Boundary Value Problems for Integro-differential Equations |
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| QIAN Yuan-yuan,LI Yong-xiang.Existence and Multiplicity of Positive Solutions for Nonlinear Second Order Boundary Value Problems for Integro-differential Equations[J].Journal of Hebei University (Natural Science Edition),2011,31(5):456-461. |
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| Authors: | QIAN Yuan-yuan LI Yong-xiang |
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| Institution: | QIAN Yuan-yuan,LI Yong-xiang(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | The existence of positive solution for second order boundary value problems of integro-differentail equations is discussed.We obtain the existence and multiplicity results of positive solutions by employing the fixed-point theorem of cone expansion or compression type. |
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| Keywords: | integro-differential equation positive solution convex cone fixed point theorem in cones |
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