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| 半无限区间上具有一阶导数的奇异多点边值问题的正解 | |
| 引用本文： | 索秀云,房月华,韩晓欣,江卫华.半无限区间上具有一阶导数的奇异多点边值问题的正解[J].数学的实践与认识,2012,42(9):237-243. |
| 作者姓名： | 索秀云 房月华 韩晓欣 江卫华 |
| 作者单位： | 1. 河北科技大学理学院,河北石家庄,050018 2. 衡水学院数学与计算机科学系,河北衡水,053000 3. 太原理工大学阳泉学院基础部,山西阳泉,045000 |
| 摘 要： | 利用不动点指数理论和Krein-Rutman定理,证明了半无限区间上具有一阶导数的奇异二阶多点边值问题的正解存在性,其中的非线性项可以在任意一点具有奇性和不连续性.该结论扩展了现有的一些结果. |
| 关 键 词： | 不动点指数 正解 多点边值问题 再生锥 |
Positive Solutions of Singular Multi-Point Boundary Value Problems with The First Derivative on the Half-Line |
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| SUO Xiu-yun , FANG Yue-hua , HAN Xiao-xin , JIANG Wei-hua.Positive Solutions of Singular Multi-Point Boundary Value Problems with The First Derivative on the Half-Line[J].Mathematics in Practice and Theory,2012,42(9):237-243. | |
| Authors: | SUO Xiu-yun FANG Yue-hua HAN Xiao-xin JIANG Wei-hua |
| Institution: | 1 (1.College of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China) (2.Department of Mathematics and Computer Science,Hengshui University,Hengshui 053000,China) (3.Department of Basic Courses,Taiyuan University of Technology Yangquan College,Yangquan 045000,China) |
| Abstract: | By using fixed point index theory and Krein-Rutman theorem,the existence of positive solutions for singular second-order multi-point boundary value problems with the first-order derivative on the half-line is investigated,where the nonlinear term may be noncontinuous. This result extends some of the existing results. |
| Keywords: | fixed point index positive solution multi-point boundary value problem reproducing cone |
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