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基于变分方法周期边值问题的多重正解
引用本文:武华华.基于变分方法周期边值问题的多重正解[J].山东理工大学学报,2014(2):57-61.
作者姓名:武华华
作者单位:山东科技大学信息科学与工程学院,山东青岛266590
摘    要:研究了一类周期边值问题正解的存在性,借助临界点理论和变分方法,将该周期边值问题获得多个正解存在性的条件做了进一步推广.

关 键 词:变分方法  周期边值问题  正解

Multiple positive solutions for periodic boundary value problems via variational methods
WU Hua-hua.Multiple positive solutions for periodic boundary value problems via variational methods[J].Journal of Shandong University of Technology:Science and Technology,2014(2):57-61.
Authors:WU Hua-hua
Institution:WU Hua-hua (College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China)
Abstract:This paper studies the existence of positive solutions of periodic boundary value problems. Our analysis relies mainly on critical point theory and variational methods. It does a further promotion for conditions of a class of periodic boundary value problems obtaining multiple positive solutions.
Keywords:variational methods  periodic boundary value problem  positive solutions
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