| 奇异二阶m点边值问题解的唯一性 |
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| 引用本文： | 孙建平,唐婉莹.奇异二阶m点边值问题解的唯一性[J].兰州理工大学学报,2009,35(3). |
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| 作者姓名： | 孙建平 唐婉莹 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金 |
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| 摘 要： | 研究一类非线性奇异二阶m点边值问题解的唯一性.利用二阶两点边值问题的格林函数得到二阶m点边值问题的格林函数,运用迭代法给出非线性奇异二阶m点边值问题存在唯一解的若干充分条件.
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| 关 键 词： | 格林函数 二阶m点边值问题 解 唯一性 |
Uniqueness of solution of singular second-order m-point boundary-value problem |
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| SUN Jian-ping,TANG Wan-ying.Uniqueness of solution of singular second-order m-point boundary-value problem[J].Journal of Lanzhou University of Technology,2009,35(3). |
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| Authors: | SUN Jian-ping TANG Wan-ying |
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| Institution: | SUN Jian-ping,TANG Wan-ying(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China) |
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| Abstract: | The uniqueness of solution for a class of nonlinear singular second-order m-point boundary-value problem was studied.The Green's function for second-order m-point boundary-value problem was obtained by using that for second-order two-point boundary-value problem.Some sufficient conditions for the existence of unique solution for the nonlinear singular second-order m-point boundary-value problem were given by using iterative method. |
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| Keywords: | Green's function second-order m-point boundary-value problem solution uniqueness |
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