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| 一类非线性奇异边值问题正解的唯一性 | |
| 引用本文： | 王丽娟. 一类非线性奇异边值问题正解的唯一性[J]. 数学的实践与认识, 2009, 39(11) |
| 作者姓名： | 王丽娟 |
| 作者单位： | 大连大学,信息工程学院,辽宁,大连,116622 |
| 摘 要： | 运用正则锥上的非紧增算子的不动点的存在性,讨论了一般非线性Strum-Liouville奇异边值问题,得出了有关解的存在性确切个数的充分必要条件.改进了有关结果. |
| 关 键 词： | Sturm-Liouville奇异边值问题 解的唯一性 |
The Uniqueness of Positive Solutions for a Class of Nonlinear Singular BVPs |
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| WANG Li-juan. The Uniqueness of Positive Solutions for a Class of Nonlinear Singular BVPs[J]. Mathematics in Practice and Theory, 2009, 39(11) | |
| Authors: | WANG Li-juan |
| Abstract: | This paper, using the fixed point theorem for non-compact operators on regular or normal cone, we study the nonlinear Sturm-Liouville Singular BVPs, giving conditions and equivalence conditions about exact number of solutions. Some results known are improved. |
| Keywords: | Sturm-Liouville Singular BVPs Uniqueness of solutions |
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