| 关于三阶常微分方程y''=f(t,y,y',Y')的两点边值问题 |
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| 引用本文： | 王金枝,王伟.关于三阶常微分方程y''''''''''''=f(t,y,y'''',Y'''''''')的两点边值问题[J].东北师大学报(自然科学版),1989(3). |
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| 作者姓名： | 王金枝 王伟 |
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| 作者单位： | 内蒙古大学，东北师大数学系 |
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| 摘 要： | 本文首先讨论了三阶常微分方程两点边值问题的格林函数及其偏导数的符号,其次用三种不同方法定义压缩映射,解决了六种两点边值问题解的存在性和唯一性问题。
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| 关 键 词： | 格林函数 权函数 压缩映射原理 |
TWO-POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER DIFFERENTIAL EQUATIONS |
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| Wang Jinzhi,Wang Wei.TWO-POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER DIFFERENTIAL EQUATIONS[J].Journal of Northeast Normal University (Natural Science Edition),1989(3). |
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| Authors: | Wang Jinzhi Wang Wei |
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| Institution: | Wang Jinzhi;Wang Wei |
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| Abstract: | This paper discusses respectively Green's function for the associated boundary value problem of third order differential equations to define a contraction mapping and an alternative procedure where the contr- action mapping is dependent of the Green's function.These two methods all present conditions for the existence and u(?)queness of solutions of certain two-Point boundary value problems for third order differential equations. |
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| Keywords: | Grcen's funetion weight funetions a Contraction mapping theorem |
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