| 非线性Sturm-Liouville奇异边值问题正解的存在唯一性 |
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| 引用本文： | 郭林,邢启江. 非线性Sturm-Liouville奇异边值问题正解的存在唯一性[J]. 工程数学学报, 2007, 24(5): 927-930 |
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| 作者姓名： | 郭林 邢启江 |
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| 作者单位： | 山东工商学院数学系,烟台,264005;海军航空工程学院电子信息工程系,烟台,264001 |
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| 摘 要： | 本文用正则锥上的非紧减算子不动点定理,讨论了一类非线性Sturm-Liouville奇异边值问题正解的存在性和唯一性。对此问题的讨论,我们构造了一个新的正则锥。这样的方法完全可以应用到其它奇异边值上去,用以讨论正解的存在性。
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| 关 键 词： | 奇异边值问题 减算子不动点 |
| 文章编号： | 1005-3085（2007）05-0927-04 |
| 修稿时间： | 2005-10-14 |
The Uniqueness of Positive Solutions for Nonlinear Singular Sturm-Liouville BVPs |
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| GUO Lin,XING Qi-jiang. The Uniqueness of Positive Solutions for Nonlinear Singular Sturm-Liouville BVPs[J]. Chinese Journal of Engineering Mathematics, 2007, 24(5): 927-930 |
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| Authors: | GUO Lin XING Qi-jiang |
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| Affiliation: | 1. Dept. of Math. Shandong Institute of Business and Technology, Yantai 264005; 2.Department of Electronic and Information Engineering, Naval Aeronautical Engineering Institute, Yantai 264001 |
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| Abstract: | By using the fixed point theorem of noncompact decreasing operations on regular cones, the existence and the uniquness of positive solution of the nonlinear Sturm-Liouville singular boundary value problem are considered.In order to study these problems,a new regular cone is introduced. This method can be used to discuss the existence of positive solutions about other nonlinear singular boundary value problem. |
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| Keywords: | singular BVP fixed point for decreasing operators |
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