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偏序度量空间中的若干不动点定理及其在周期边值问题中的应用

Some Fixed Point Theorems in Partially Ordered Metric Spaces and Applications to Periodic Boundary Value Problems
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摘要 本文给出了偏序度量空间中的若干不动点定理.利用这些不动点定理,我们给出了周期边值问题存在唯一解的一个充分条件. In this paper, some fixed point theorems in partially ordered metric spaces are established. From these,we gave a sufficient condition for the xistence and uniqueness theorem for the solutions of the periodic boundary value problem.
作者 荣祯
出处 《应用数学学报》 CSCD 北大核心 2013年第5期923-934,共12页 Acta Mathematicae Applicatae Sinica
关键词 混合单调性质 耦合不动点 周期边值问题 mixed monotone property coupled fixed point periodic boundary value problem
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