非齐次梁方程初边值问题形式级数解的收敛性 |
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引用本文: | 高建全,杜博伟.非齐次梁方程初边值问题形式级数解的收敛性[J].河南科学,2014(6):980-986. |
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作者姓名: | 高建全 杜博伟 |
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作者单位: | [1]平顶山教育学院数学系,河南平顶山467000 [2]北京航空航天大学宇航学院,北京100191 |
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摘 要: | 考虑线性非齐次梁方程初边值问题的形式级数解的收敛性问题.证明了非齐次梁方程初边值问题的古典解和广义解的存在唯一性.
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关 键 词: | 非齐次梁方程 初边值问题 级数形式解 古典解 广义解 |
The Convergence of the Formal Series Solution to the Initial Boundary Value Problem for the Non-homogeneous Beam Equation |
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Institution: | Gao Jianquan,To Pokwai ( 1. Department of Mathematics, Pingdingshan Education Institute, Pingdingshan 467000, Henan China; 2. School of Astronautics, Beihang University, Beijing 100191, China) |
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Abstract: | In this paper we considered that the formal series solution to the initial boundary value problem for non-homogeneous linear beam equation is classical solution. It was proved that the classical solution and generalized solution to the initial boundary value problem for beam equation is existence and uniqueness . |
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Keywords: | beam equation initial boundary value problem formal series solution classical solution generalized solution |
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