张兴秋.无穷区间上一阶奇异微分方程正解的存在性和不可比较性[J].数学研究及应用,2009,29(3):491~499
无穷区间上一阶奇异微分方程正解的存在性和不可比较性
Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains
投稿时间:2007-03-02  修订日期:2007-09-07
DOI:10.3770/j.issn:1000-341X.2009.03.014
中文关键词:  奇异方程  无穷区域  正解  不可比较性.
英文关键词:singular equation  unbounded domain  positive solution  incomparability.
基金项目:国家自然科学基金(No.10671019); 聊城大学科研启动基金(No.31805).
作者单位
张兴秋 聊城大学数学科学学院, 山东 聊城 252059 
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中文摘要:
      本文通过构造一个特殊的锥,利用范数型锥拉伸与压缩不动点定理研究了一类定义在无穷区域上的一阶奇异微分方程边值问题正解的存在性及其不可比较性,并给出了例子.
英文摘要:
      By constructing a special cone and applying the fixed point theorem of cone compression and expansion, this paper investigates the existence of positive solutions for a class of first order singular boundary value problem (BVP, for short) on unbounded domains. Moreover, an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.
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