| 奇异二阶周期边值问题正解的存在性 |
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| 引用本文： | 吴小荣,王峰.奇异二阶周期边值问题正解的存在性[J].数学的实践与认识,2008,38(23). |
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| 作者姓名： | 吴小荣 王峰 |
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| 作者单位： | 1. 泰州师范高等专科学校,数理科学系,泰州,225300
2. 江苏工业学院,数理学院,常州,213164 |
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| 基金项目： | 国家自然科学基金
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| 摘 要： | 利用不动点指数理论研究奇异二阶周期边值问题.在有关其线性算子方程对应的第一特征值的条件下得到边值问题正解的存在性,推广和改进了最近文献的结果.
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| 关 键 词： | 正解 周期边值问题 锥 不动点指数 |
Existence of Positive Solution of Singular Second-order Periodic Boundary Value Problem |
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| WU Xiao-rong,WANG Feng.Existence of Positive Solution of Singular Second-order Periodic Boundary Value Problem[J].Mathematics in Practice and Theory,2008,38(23). |
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| Authors: | WU Xiao-rong WANG Feng |
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| Institution: | 1.Department of Mathematics and Physics;Taizhou Teacher's College;Taizhou 225300;China;2.School of Mathematics and Physics;Jiangsu Polytechnic University;Changzhou 213164;China |
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| Abstract: | By using the method of fixed point index theory,some existence theorems of positive solutions for singular second-order periodic boundary value problem are given under some conditions concerning the first eigenvalue of the relevant linear operator,which improve and generalize the corresponding results in recent literatures. |
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| Keywords: | positive solutions periodic boundary value problem cone fixed point index |
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