| 两类非线性三阶四点边值问题解的存在性 |
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| 引用本文： | 林东海,裴明鹤. 两类非线性三阶四点边值问题解的存在性[J]. 北华大学学报(自然科学版), 2016, 17(5): 572-576. DOI: 10.11713/j.issn.1009-4822.2016.05.003 |
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| 作者姓名： | 林东海 裴明鹤 |
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| 作者单位： | 北华大学数学与统计学院,吉林 吉林,132013;北华大学数学与统计学院,吉林 吉林,132013 |
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| 基金项目： | 吉林省教育厅科学技术研究项目(2016-45) |
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| 摘 要： | 利用Leray-Schauder度理论,得到了非线性三阶微分方程x'=f(t,x,x',x″),t∈[0,1]分别满足下列四点边界条件x(0)=0,x'(0)=αx'(ξ),x'(1)=βx'(η)和x'(0)=αx'(ξ),x(1)=0,x'(1)=βx'(η)的两类边值问题解的存在性,并且作为应用给出了一个例子.
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| 关 键 词： | Leray-Schauder度理论 Nagumo条件 四点边值问题 存在性 |
Existence of Solutions for Two Classes of Nonlinear Third-Order Four-Point Boundary Value Problems |
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| Lin Donghai,Pei Minghe. Existence of Solutions for Two Classes of Nonlinear Third-Order Four-Point Boundary Value Problems[J]. Journal of Beihua University(Natural Science), 2016, 17(5): 572-576. DOI: 10.11713/j.issn.1009-4822.2016.05.003 |
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| Authors: | Lin Donghai Pei Minghe |
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| Abstract: | By using the Leray-Schauder degree theory,we obtained the existence of solutions for nonlinear third-order differential x?=f(t,x,x′,x″),t∈[0,1] with one of the following sets of four-point boundary conditions x(0)=0,x′(0)= αx′(ξ),x′(1)= βx′(η);x′(0)= αx′(ξ),x(1)= 0,x′(1)= βx′(η). Meanwhile,as an application of our results,an example is given. |
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| Keywords: | Leray-Schauder degree theory Nagumo condition four-point boundary value problem existence |
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