| 非线性势力与轴向力联合作用下梁方程的初边值问题 |
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| 引用本文： | 张建文,魏茂升,侯艳红.非线性势力与轴向力联合作用下梁方程的初边值问题[J].数学的实践与认识,2009,39(17). |
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| 作者姓名： | 张建文 魏茂升 侯艳红 |
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| 作者单位： | 1. 太原理工大学,数学系,山西,太原,030024
2. 北京工商大学,嘉华学院金融与贸易系,北京,101118 |
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| 摘 要： | 考虑非线性势力的作用下梁方程的初边值问题,利用Galerkin方法证明了非线性项在适当条件下,在不高于6维的空间中该初边值问题整体弱解的存在及唯一性.
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| 关 键 词： | 非线性势力 轴向力 粘弹性梁 Galerkin方法 整体解 |
Initial-boundary Value Problem for Beam Equation Under Nonlinear Force Joint with Axial Force |
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| ZHANG Jian-wen,WEI Mao-sheng,HOU Yan-hong.Initial-boundary Value Problem for Beam Equation Under Nonlinear Force Joint with Axial Force[J].Mathematics in Practice and Theory,2009,39(17). |
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| Authors: | ZHANG Jian-wen WEI Mao-sheng HOU Yan-hong |
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| Abstract: | The initial-boundary value problem for beam equation under the impact of nonlinear force is studied, and then by using Galerkin method, the existence and uniqueness of the global weak solution of the initial-boundary value problem is proved in not more than six-dimensional spaces while the nonlinear term is under appropriate conditions. |
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| Keywords: | nonlinear force axial force visco-elastic beam galerkin method global solution |
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