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参数p(x)为分段常数时斯图谟——刘维尔问题的格林函数及其定性性质

The Green's Functions and Their Qualitative Properties of the S-L Problems with Segmentation Constant function p(x)
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摘要 本文导出了参数p(x)为分段常数时斯图谟—刘维尔方程的格林函数,证明了所导出的格林函数的若干定性性质,给出了参数p(x)为分段常数时非线性斯图谟—刘维尔方程边值问题解的积分公式。 When the parameter p（x） is piecewise constant,the Green＇s function of Sturm-Liouville equation is derived in this paper.Some qualitative properties of the derived Green＇s function are proved.And given the condition,the integral formula about a nonlinear Sturm-Liouville problem is provided as well.
作者 沈娟 黄丽莎 王其申
机构地区 安庆师范学院数学与计算科学学院
出处 《安庆师范学院学报（自然科学版）》 2011年第3期22-25,共4页 Journal of Anqing Teachers College(Natural Science Edition)
关键词 非线性斯图谟—刘维尔方程 格林函数 分段函数 定性性质 nonlinear Sturm-Liouville problem Green＇s fuction segmentation constant qualitative properties
分类号 O353 [理学—流体力学]
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共引文献17

安庆师范学院学报（自然科学版）
2011年 第3期

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