| 两类非线性三阶三点边值问题解的存在性 |
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| 引用本文： | 裴明鹤,吕学哲.两类非线性三阶三点边值问题解的存在性[J].北华大学学报(自然科学版),2015(1):1-4. |
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| 作者姓名： | 裴明鹤 吕学哲 |
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| 作者单位： | 北华大学数学与统计学院,吉林 吉林,132033;北华大学数学与统计学院,吉林 吉林,132033 |
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| 摘 要： | 研究非线性三阶微分方程x'=f(t,x,x',x″),t∈0,1],分别满足三点边界条件x(0)=0,ax'(0)-bx″(0)=0,x'(1)=αx'(ξ)和x'(0)=βx'(η),x(1)=0,cx'(1)+dx″(1)=0的两类边值问题解的存在性.利用Leray-Schauder度理论,给出上述两类三阶三点边值问题解的存在性的若干充分条件.
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| 关 键 词： | Leray-Schauder度理论 Nagumo条件 边值问题 存在性 |
Existence of Solutions for Two Classes of Nonlinear Third-order Three-point Boundary Value |
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| Pei Minghe,Lü Xuezhe.Existence of Solutions for Two Classes of Nonlinear Third-order Three-point Boundary Value[J].Journal of Beihua University(Natural Science),2015(1):1-4. |
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| Authors: | Pei Minghe Lü Xuezhe |
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| Institution: | Pei Minghe;Lü Xuezhe;School of Mathematics and Statistics,Beihua University; |
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| Abstract: | We investigate the existence of solutions for nonlinear third-order differential equarions x?=f( t,x,x′, x″), t∈0,1] subject to the following two sets of three-point boundary problem conditions:x(0)=0, ax′(0)-bx″(0)=0, x′(1)=αx′(ξ) and x′(0)=βx′(η), x(1)=0, cx′(1)+dx″(1)=0. By using the Leray-Schauder degree theory,the existence of solutions for the above boundary value problems are given. |
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| Keywords: | Leray-Schauder degree theory Nagumo condition boundary value problem existence |
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