| 参数p(x)为分段线性函数时斯图谟刘维尔问题的格林函数及其定性性质 |
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| 引用本文： | 黄丽莎,沈娟,王其申. 参数p(x)为分段线性函数时斯图谟刘维尔问题的格林函数及其定性性质[J]. 徐州师范大学学报(自然科学版), 2011, 0(3) |
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| 作者姓名： | 黄丽莎 沈娟 王其申 |
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| 作者单位： | 安庆师范学院数学与计算科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10772001) |
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| 摘 要： | 研究了当参数p(x)是区间[0,1]上的分段线性函数时,非线性斯图谟刘维尔方程边值问题的格林函数及其性质,并证明了相应边值问题解的积分公式.
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| 关 键 词： | 非线性斯图谟刘维尔问题 格林函数 分段函数 定性性质 |
Green functions and their qualitative properties for the Sturm-Liouville problems with p(x) to be a segmentally linear function |
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| Huang Lisha,Shen Juan,Wang Qishen. Green functions and their qualitative properties for the Sturm-Liouville problems with p(x) to be a segmentally linear function[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2011, 0(3) |
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| Authors: | Huang Lisha Shen Juan Wang Qishen |
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| Affiliation: | Huang Lisha,Shen Juan,Wang Qishen(School of Mathematics & Computational Sciences,Anqing Teachers College,Anqing 246011,Anhui,China) |
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| Abstract: | The Green functions and their qualitative properties of the nonlinear Sturm-Liouville first boundary value problems with p(x) to be a segmentally linear function on interval are discussed,and the integral formulas of solutions for the boundary value problems are showed. |
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| Keywords: | nonlinear Sturm-Liouville problem Green function segmentation function qualitative property |
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