| 无穷区间上一类二阶泛函微分方程的边值问题 |
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| 引用本文： | 杨雯抒. 无穷区间上一类二阶泛函微分方程的边值问题[J]. 纺织高校基础科学学报, 2012, 25(1): 51-54 |
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| 作者姓名： | 杨雯抒 |
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| 作者单位： | 嘉应学院 数学学院,广东梅州,514015 |
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| 基金项目： | 广东省自然科学基金资助项目 |
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| 摘 要： | 研究了无穷区间上一类二阶泛函微分方程边值问题解的存在性.采用Schauder不动点定理和压缩映像原理研究此边值问题,得到了该方程边值问题存在唯一解的一些结果,并发展了以前文献中的一些结论.
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| 关 键 词： | 泛函微分方程 边值问题 Schauder不动点定理 存在性 |
Boundary value problems for a class of second order functional differential equation on the infinite interval |
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| YANG Wen-shu. Boundary value problems for a class of second order functional differential equation on the infinite interval[J]. Basic Sciences Journal of Textile Universities, 2012, 25(1): 51-54 |
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| Authors: | YANG Wen-shu |
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| Affiliation: | YANG Wen-shu(Department of Mathematies,Jiaying College,Meizhou,Guangdong 514015,China) |
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| Abstract: | The existence of solution of boundary value problems for a class of second order functional differential equation on the infinite interval is studied.Schauder fixed point theorem and condensing mapping theory are applied to these problems.Some existence and uniqueness results are obtained which is the improvement of the result in previons papers. |
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| Keywords: | functional differential equations boundary value problem Schauder fixed point theorem existence |
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