| EXISTENCE AND UNIQUENESS FOR THIRD ORDER NONLINEAR BOUNDARY VALUE PROBLEMS |
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| 作者姓名： | WANGGUOCAN |
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| 作者单位： | WANG GUOCAN Department of Basic Science，Dalian Institute of Railway Technology，Dalian 116022 |
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| 摘 要： | Abstract. In this Paper, the existence and uniqueness of solutions for boundary valueproblem
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| 关 键 词： | 三点边值问题 三阶非线性方程 存在性 单值性 非线性常微分方程 |
| 收稿时间： | 20 April 1994 |
Existence and uniqueness for third order nonlinear boundary value problems |
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| WANGGUOCAN.EXISTENCE AND UNIQUENESS FOR THIRD ORDER NONLINEAR BOUNDARY VALUE PROBLEMS[J].Applied Mathematics A Journal of Chinese Universities,1996,11(1):7-16. |
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| Authors: | Guocan Wang |
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| Institution: | (1) Department of Basic Science, Dalian Institute of Railway Technology, 116022 Dalian |
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| Abstract: | In this paper, the existence and uniqueness of solutions for boundary value problemx‴=f(t, x, x′, x″),x(0)=A,x′(0)=B,g(x′(1),x″(1))=0 are studied by using Volterra type operator and upper and lower solutions. Our results improve some known works. |
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| Keywords: | Third order nonlinear boundary value problem existence and uniqueness Volterra type operator upper and lower solutions |
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