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奇异二阶m点边值问题解的唯一性

Uniqueness of solution of singular second-order m-point boundary-value problem
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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. 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.
出处 《兰州理工大学学报》 CAS 北大核心 2009年第3期139-141,共3页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(10801068) 甘肃省自然科学基金(2007GS05333)
关键词 格林函数 二阶M点边值问题 唯一性 Green's function second-order m-point boundary-value problem solution uniqueness
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