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Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains

Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains
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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. 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.
作者 ZHANG Xing Qiu
机构地区 School of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第3期491-499,共9页 数学研究与评论（英文版）
基金 Foundation item： the National Natural Science Foundation of China （No. 10671167） the Natural Science Foundation of Liaocheng University （No. 31805）.
关键词 singular equation unbounded domain positive solution incomparability 奇异边值问题 正解的存在性 一阶微分方程 无界域 不动点定理 锥压缩
分类号 O175.8 [理学—基础数学] O175.2 [理学—基础数学]
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参考文献9

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Journal of Mathematical Research and Exposition
2009年 第3期

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