| 一个三阶边值问题解的存在唯一性定理 |
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| 引用本文： | 袁磊,刘永民,黄正海.一个三阶边值问题解的存在唯一性定理[J].徐州师范大学学报(自然科学版),1995(3). |
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| 作者姓名： | 袁磊 刘永民 黄正海 |
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| 作者单位： | 襄阳师专数学系，徐州师范学院数学系 |
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| 摘 要： | 考虑三阶边值问题ｘ′′′＝ｆ（ｔ，ｘ，ｘ′，ｘ″），ｘ（０）＝ｘ（１）＝ｘ′（０）＝０。用基于度理论的不动点定理，建立了一系列存在唯一性定理。
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| 关 键 词： | 三阶边值问题，存在唯一性定理，不动点定理 |
Existence and Uniqueness Theorems for a Third Order Boundary Value Problem |
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| Yuan Lei,Liu Yongmin,Huang Zhenghai.Existence and Uniqueness Theorems for a Third Order Boundary Value Problem[J].Journal of Xuzhou Normal University(Natural Science Edition),1995(3). |
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| Authors: | Yuan Lei Liu Yongmin Huang Zhenghai |
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| Abstract: | In this paper the following third order boundary value problem X'=f(t,x,x',x"),x(0)=x(1) = x'(0)=0 is considered. Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory. |
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| Keywords: | Third order boundary value problem existence and uniqueness theorem fixed point theorem |
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