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二阶微分方程周期边值问题的反序上下解方法 被引量:6

Method of upper and lower solutions in the reversed order of periodic boundary value problems for second order differential equations
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摘要 利用反序极大值原理与反序上下解单调迭代方法,研究了二阶微分方程周期边值问题解的存在性,并获得其存在性结果。 The existence of solutions for second order of differential equations of periodic boundary value problems is discussed. The anti-maximum principle and the monotone iterative method in case lower and upper solutions in the reversed order are applied to these problems and some existence results are obtained.
作者 张玲忠
出处 《甘肃农业大学学报》 CAS CSCD 2003年第3期304-307,共4页 Journal of Gansu Agricultural University
关键词 二阶微分方程 周期边值问题 上解 下解 单调迭代方法 second order defferential equations periodic boundary value problem upper solutions lower solutions monotone iterative technique
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