| 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 |
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| 引用本文： | 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. |
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| 作者姓名： | 张兴秋 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252059 |
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| 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). |
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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.
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| 关 键 词： | 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 |
| 收稿时间： | 3/2/2007 12:00:00 AM |
| 修稿时间： | 9/7/2007 12:00:00 AM |
Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains |
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| ZHANG Xing Qiu.Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains[J].Journal of Mathematical Research with Applications,2009,29(3):491-499. |
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| Authors: | ZHANG Xing Qiu |
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| Institution: | School of Mathematics, Liaocheng University, Shandong 252059, China |
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| Abstract: | 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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| Keywords: | singular equation unbounded domain positive solution incomparability |
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