| Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems |
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| 引用本文： | Zhan Bing BAI Wei Gao GE. Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems[J]. 数学学报(英文版), 2006, 22(6): 1825-1830. DOI: 10.1007/s10114-005-0806-z |
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| 作者姓名： | Zhan Bing BAI Wei Gao GE |
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| 作者单位： | [1]Institute of Mathematics, Shandong University of Science and Technology, Qingdao 266510, P.R. China [2]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China |
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| 摘 要： |
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| 关 键 词： | 四阶边界价值问题 固定点理论 正解 泛函型 |
| 收稿时间： | 2005-04-20 |
| 修稿时间： | 2005-04-202005-12-05 |
Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems |
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| Zhan Bing Bai,Wei Gao Ge. Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems[J]. Acta Mathematica Sinica(English Series), 2006, 22(6): 1825-1830. DOI: 10.1007/s10114-005-0806-z |
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| Authors: | Zhan Bing Bai Wei Gao Ge |
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| Affiliation: | (1) Institute of Mathematics, Shandong University of Science and Technology, Qingdao 266510, P.R. China;(2) Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China |
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| Abstract: | In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth-order beam equation boundary value problems is obtained. The emphasis is put on that the nonlinear term is dependent on all lower order derivatives. |
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| Keywords: | fourth-order boundary value problem fixed point theorem positive solution |
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