一类奇异二阶周期边值问题的正解
首发时间:2009-06-02
摘要:本文利用范数形式的锥拉伸与压缩不动点定理研究了一类奇异二阶周期边值问题一个和两个正解的存在性,其对应的格林函数在直线段上为零,所得结果改进和推广了已有文献中的结果,最后给出了两个例子说明了本文的主要结果.
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Positive Solutions for a Class of Singular Second-Order Periodic Boundary Value Problem
Abstract:In this paper, by the cone expansion and compression fixed point theorem of norm type, authors obtain the existence of one positive solution and two positive solutions for a class of singular second-order periodic boundary value problem with vanishing the Green function. The main results obtained improve and generalize the existing results. Finally, two examples is given to demonstrate the main results of this paper.
Keywords: Singular periodic boundary Green function with zero Positive solution Multiple positive solutions
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