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二阶非线性边值问题的正解

Second Order Nonlinear Boundary Value Problem of Positive Solutions
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摘要 非线性泛函分析已成为现代数学中的一个重要分支,是处理非线性问题的重要工具,尤其在处理应用中出现的大量微分方程时发挥不可替代的作用。利用锥不动点定理,并结合Green函数性质,证明了一类二阶边值问题的正解存在性。 Nonlinear functional analysis has become a modem mathematics as an important branch of the nonlinear problem, the important tool, especially processing applications of some differential equations play an irreplaceable role in. In this paper by using the fixed point theorem in a cone, and the combination of Green function properties, proof of a class of two order boundary value problem positive solution existence.
出处 《大庆师范学院学报》 2012年第3期52-55,共4页 Journal of Daqing Normal University
关键词 GREEN函数 边值问题 不动点 green function cone boundary value problem fixed point
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参考文献3

  • 1Li Yongxiang. Positive solutions of fourth-order boundary value problem with two parameters [ J ]. J. Math. Anal. Appl. ,2003,281:477-484. 被引量:1
  • 2Jiang Daqing. Optimal existence theory for single and multiple positive solutions to fourthorder periodic value problems [ J ]. Nonlinear Analysis: Real World Applications,2006(7) :841-852. 被引量:1
  • 3L. H. Erbe, Wang Haiyan. On the existence of positive solutions of ordinary differential Equations [ J ]. Proc. Amer. Math, 1994,120:743-748. 被引量:1

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