| 带积分边界条件的奇异方程组边值问题的正解 |
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| 引用本文： | 严洁,肖建中.带积分边界条件的奇异方程组边值问题的正解[J].南京气象学院学报,2016,8(3):278-285. |
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| 作者姓名： | 严洁 肖建中 |
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| 作者单位： | 南京信息工程大学 数学与统计学院, 南京, 210044;南京信息工程大学 数学与统计学院, 南京, 210044 |
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| 摘 要： | 考虑了一类具p-Laplacian算子型带积分边界条件的三点奇异方程组边值问题正解的存在性.通过使用锥上的不动点定理,在适当的条件下,建立了这类方程组边值问题存在一个或多个正解的充分条件,并给出两个例子来验证主要结果.
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| 关 键 词： | p-Laplacian算子 方程组 不动点定理 边值问题 正解 |
| 收稿时间： | 2015/1/15 0:00:00 |
Positive solutions for singular boundary value systems with integral boundary condition |
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| YAN Jie and XIAO Jianzhong.Positive solutions for singular boundary value systems with integral boundary condition[J].Journal of Nanjing Institute of Meteorology,2016,8(3):278-285. |
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| Authors: | YAN Jie and XIAO Jianzhong |
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| Institution: | School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044;School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044 |
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| Abstract: | In this paper,we consider the positive solutions for a class of three-point singular boundary value systems with a p-Laplacian operator under integral boundary condition.By using the fixed point theorem,under appropriate conditions,we establish the sufficient conditions for the existence of positive solution about this class of boundary value problem,and give two examples to illustrate our results. |
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| Keywords: | p-Laplacian operator equation systems fixed point theorem boundary value problem positive solution |
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