| EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR NONLINEAR THIRD-ORDER ROBIN BOUNDARY VALUE PROBLEM WITH A TURNING POINT |
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| 作者姓名： | Yu Zanping Zhou Zheyan School of Math.and Computer Science Fujian Normal University Fuzhou Shen Jianhe |
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| 作者单位： | Dept.of Applied Mechanics and Engineering，Sun Yat-sen University，Guangzhou 510275 |
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| 基金项目： | Natural Science Foundation of Fujian Province under grant No.S0650010，the Foundation of the Education Department of Fujian Province (JB06098). |
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| 摘 要： | The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear third- order Robin boundary value problem with a turning point.In order to achieve this aim,existence and uniqueness of the solution for third-order nonlinear Robin boundary value problem is derived first based on the upper and lower solutions method under relatively weaker conditions.In this manner,the goal of this paper is gained by applying the existence and uniqueness results mentioned above.
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| 关 键 词： | 非线性三阶罗宾边值问题 转折点 解 存在性 唯一性 |
EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR NONLINEAR THIRD-ORDER ROBIN BOUNDARY VALUE PROBLEM WITH A TURNING POINT |
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| Yu Zanping Zhou Zheyan School of Math.and Computer Science,Fujian Normal University,Fuzhou Shen Jianhe.EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR NONLINEAR THIRD-ORDER ROBIN BOUNDARY VALUE PROBLEM WITH A TURNING POINT[J].微分方程年刊(英文版),2007,23(3):365-372. |
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| Authors: | Yu Zanping Zhou Zheyan Shen Jianhe |
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| Institution: | [1]School of Math. and Computer Science, Fujian Normal University, Fuzhou 350007 [2]Dept. of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275 |
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| Abstract: | The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear third- order Robin boundary value problem with a turning point.In order to achieve this aim,existence and uniqueness of the solution for third-order nonlinear Robin boundary value problem is derived first based on the upper and lower solutions method under relatively weaker conditions.In this manner,the goal of this paper is gained by applying the existence and uniqueness results mentioned above. |
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| Keywords: | Robin boundary value problem third-order turning point existence and uniqueness singular perturbation |
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