| 一类一阶周期边值问题解的存在性 |
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| 引用本文： | 白振国,赵爱民,燕居让. 一类一阶周期边值问题解的存在性[J]. 数学的实践与认识, 2007, 37(20): 172-174 |
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| 作者姓名： | 白振国 赵爱民 燕居让 |
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| 作者单位： | 山西大学,数学科学学院,山西,太原,030006 |
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| 摘 要： | 考虑一类一阶常微分方程的周期边值问题,利用Schaefer不动点定理得到了边值问题解存在的一个充分条件,推广了相关文献中已有的结果.
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| 关 键 词： | 周期边值问题 一阶常微分方程 Schaefer不动点定理 |
| 修稿时间： | 2007-04-03 |
Existence of Solutions to A Class of First Order Periodic Boundary Value Problems |
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| BAI Zhen-guo,ZHAO Ai-min,YAN Ju-rang. Existence of Solutions to A Class of First Order Periodic Boundary Value Problems[J]. Mathematics in Practice and Theory, 2007, 37(20): 172-174 |
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| Authors: | BAI Zhen-guo ZHAO Ai-min YAN Ju-rang |
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| Abstract: | Consider periodic boundary value problem for a class of first order ordinary differential equations.By using Schaefer′s fixed point theorem a sufficient condition for existence of solution of the problem is obtained,which extends the known results in the correlated literatures. |
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| Keywords: | periodic boundary value problem first order ordinary differential equation schaefer′s fixed point theorem |
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