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一类脉冲周期边值问题多个正解的存在性 被引量：2

Multiply Positive Solutions for a Impulsive Periodic Boundary Value Problem
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摘要 讨论了一类脉冲周期边值问题多个正解的存在性,首先把脉冲微分方程解的存在性转化为等价的算子方程的不动点的存在性,然后利用Leggett-Willams不动点定理,获得了此边值问题至少3个正解的存在性. The existence of multiple positive solutions to a pulse periodic boundary value problems is discused.First,changing the existence of the solutions into the equivalent conversion operator equation of the existence of the fixed point,then using Leggett-Willams fixed point theorem,at least three of the existence of positive solutions to the boundary value problems are obtained.
作者 王莉
机构地区 株洲职业技术学院基础课部
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2011年第1期19-22,共4页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(10871062) 湖南省教育厅科研资助项目(07B041)
关键词 正解 边值问题 锥 不动点定理 positive solutions boundary value problem cone fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献9

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同被引文献21

  • 1庞国萍,陶凤梅,陈兰荪.具有饱和传染率的脉冲免疫接种SIRS模型分析[J].大连理工大学学报,2007,47(3):460-464. 被引量：10
  • 2SERRA E. Periodic solutions for some nonlinear differential equations of neutral type[ J]. Nonlinear Anal:TMA, 1991,17 (2) : 139-151.
  • 3LU S P, GE W G. Periodic solutions to neutral differential equation with deviating argument[J]. Appl Math Comput, 2004,152 (I) :17-27.
  • 4LI J W, CHENG S S. Periodic solutions of a second Order forced sublinear differential equation with delay[ J]. Appl Math Lett, 2005,18 (12) : 1373-1380.
  • 5LU S P, GE W G, ZHENG Z X. Periodic solutions for a kind of Rayleigh equation with a deviating argument[J]. Appl Math Lett, 2004,17(4) :443-449.
  • 6GAINES R E, MAWHIN J. Coincidence degree and non-linear differential equation, Lecture Notes in Math[ M]. New York: Springer-Verlag, 1977.
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  • 8LU S P, GE W G. Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argu- ment [ J ]. Nonlinear Anal : TMA, 2004,56 ( 4 ) :501-514.
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湖南师范大学自然科学学报
2011年 第1期

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