| 具强迫项非线性梁方程解的渐近性 |
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| 引用本文： | 张建文,李庆士,蔡中民. 具强迫项非线性梁方程解的渐近性[J]. 应用数学, 2001, 14(1): 60-66 |
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| 作者姓名： | 张建文 李庆士 蔡中民 |
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| 作者单位： | 太原理工大学数学系, |
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| 基金项目： | 国家自然科学基金(19672038);山西省自然科学基金资助项目(971005,2001007) |
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| 摘 要： | 本文同时考虑纵横弯曲及粘性效应，建立了一类轴向载荷和横向载荷作用下的非线性粘弹性简支梁方程。利用Faedo-Galerkin法，证明了该方程解的存在唯一性，讨论了该方程解的渐近性，并给出了有界吸收集的存在性证明。
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| 关 键 词： | 粘弹性梁 整体解 吸收集 非线性梁方程 解 渐近性 |
| 文章编号： | 1001-9847(2001)01-0060-07 |
| 修稿时间： | 2000-04-14 |
The Asymptotic Behavior of Solutions for the Equations of Nonlinear Beam with Distributed Load |
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| ZHANG Jian wen,LI Qin shi,CAI Zhong min. The Asymptotic Behavior of Solutions for the Equations of Nonlinear Beam with Distributed Load[J]. Mathematica Applicata, 2001, 14(1): 60-66 |
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| Authors: | ZHANG Jian wen LI Qin shi CAI Zhong min |
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| Abstract: | In this paper we establish one kind of equations of nonlinear viscous elastic simply supported beam subjected to axial forces and transverse load, considering both longitudinal transverse bending and viscosity effect; obtain the existence and uniqueness theorem of global solutions for the equations by the Fadeo Galerkin method; study asymptotic behavior of solutions for the equations and prove the existence of a bounded absorbing set for the dynamical systems associated to the equations. |
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| Keywords: | Nonlinear Viscous elastic beam Global solutions Absorbing set |
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