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非良序上下解条件下带脉冲项Sturm-Liouville边值问题的正解 被引量:1

POSITIVE SOLUTIONS OF STURM-LIOUVILLE BVP FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH A NON-WELL-ORDERED UPPER AND LOWER SOLUTION CONDITION
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摘要 利用不动点指数方法,得到了非良序上下解条件下带脉冲项Sturm-Liouville边值问题正解的存在性,同时也得到了正解的存在区域. In this paper, we consider the positive solution for Sturm-Liouville BVP of second order impulsive differential equations by using the fixed point index method under a non-well-ordered upper and lower solution condition. We prove the existence of positive solution of the impulsive boundary value problem.
出处 《系统科学与数学》 CSCD 北大核心 2013年第10期1248-1255,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(10871116) 山东省高校优秀科研创新团队计划资助 山东省自然科学基金(ZR2010AM005)资助课题
关键词 脉冲 正解 非良序上下解 不动点指数 Impulse, positive solution, non-well-ordered upper and lower solution,fixed point index.
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