| 一类四阶次线性奇异边值问题的正解 |
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| 引用本文： | 李秀珍,赵增勤.一类四阶次线性奇异边值问题的正解[J].中国石油大学学报(自然科学版),2009,33(6). |
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| 作者姓名： | 李秀珍 赵增勤 |
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| 作者单位： | 1. 山东建筑大学,理学院,山东,济南,250101
2. 曲阜师范大学,数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金项目，山东省教育厅科技计划项目 |
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| 摘 要： | 利用锥上的不动点定理给出一类四阶次线性奇异微分方程边值问题C~20,1]和C~30,1]正解存在的充分必要条件及正解的唯一性.这个结果可用于判断给定的边值问题正解的存在性和唯一性.
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| 关 键 词： | 次线性奇异边值问题 正解 不动点定理 |
Positive solutions for a class of fourth order singular sublinearboundary value problems |
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| LI Xiu-zhen,ZHAO Zeng-qin.Positive solutions for a class of fourth order singular sublinearboundary value problems[J].Journal of China University of Petroleum,2009,33(6). |
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| Authors: | LI Xiu-zhen ZHAO Zeng-qin |
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| Abstract: | A necessary and sufficient condition as well as uniqueness for the existence of C~20,1] and C~30,1] positive solutions of sublinear singular boundary value problem of fourth order ordinary differential equation was given by means of the fixed point theorems on cones.The results can be used to judge the existence and the uniqueness of positive solutions for given boundary value problems. |
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| Keywords: | singular sublinear boundary value problem positive solution fixed point theorem |
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