| 一类二阶微分方程的上下解方法 |
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| 引用本文： | 陈建文,钟承奎,黄灿云.一类二阶微分方程的上下解方法[J].兰州大学学报(自然科学版),2004,40(1):1-5. |
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| 作者姓名： | 陈建文 钟承奎 黄灿云 |
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| 作者单位： | 兰州大学,数学系,甘肃,兰州,730000 |
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| 摘 要： | 讨论二阶非线性微分方程．假定相关问题上下解是良序的，也就是说，上解比下解大。通过用一列非奇异问题且利用这一列问题算子拓扑度与上下解的关系，去逼近本所讨论的奇异初值边界问题，得到解的存在结果。
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| 关 键 词： | 上下解 拓扑度 逼近 |
Upper and lower solutions for a second order differential equation |
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| Abstract.Upper and lower solutions for a second order differential equation[J].Journal of Lanzhou University(Natural Science),2004,40(1):1-5. |
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| Authors: | Abstract |
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| Abstract: | This paper deals with the second-order nonlinear differential equation. Provided existence of upper and lower solutions of the problems which are well-ordered, we approximate our singular problem by a sequence of nonsingular problems and use the relation between the topological degree of the operator associated to the above problems andthe strict upper and lower solutions, in order to obtain our existence results. |
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| Keywords: | lower and upper solutions topological degree approximation |
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