| 三阶半线性微分方程解的存在性 |
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| 引用本文： | 张海涛.三阶半线性微分方程解的存在性[J].山西大同大学学报（自然科学版）,2009,25(4):7-9. |
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| 作者姓名： | 张海涛 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西,大同,037009 |
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| 摘 要： | 讨论了一类三阶半线性两点边值问题解的存在性,首先给出定理证明中所需要的Leray-schauder定理,进而将这类三阶半线性两点边值问题转化微分方程组的初边值问题,利用微分方程组与积分方程组等价的关系,将此类三阶半线性两点边值问题转化为积分方程组,然后利用Leray-schauder定理建立了一个解的存在性结果.
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| 关 键 词： | 三阶半线性常两点边值问题 解的存在性 Leray-schaugler不动点定理 |
The Existence of Solutions for a Semilinear Third-Order Differential Equations |
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| ZHANG Hai-tao.The Existence of Solutions for a Semilinear Third-Order Differential Equations[J].Journal of Shanxi Datong University(Natural Science Edition),2009,25(4):7-9. |
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| Authors: | ZHANG Hai-tao |
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| Abstract: | In this paper, some existenting results of solution are obtained for the semilinear third-order two-point boundary value problem. First Leray-schander needed is given. Then the semilinear third-order two-point boundary value problem is change into the differential equation groups problem. Making use of the equivalence relation between the differential equation groups and integrale equation groups, this semilinear third-order two-point boundary value problem is changed into integrale equation groups. An exis-tence result is built using the Leray-schauder theorem. |
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| Keywords: | semilineax third-order two-point boundary value problem the existence of solutions leray-Schauder fixed-point theorem |
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