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非齐次梁方程初边值问题形式级数解的收敛性
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.
作者姓名:高建全  杜博伟
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
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.

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
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)
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 .
Keywords:beam equation  initial boundary value problem  formal series solution  classical solution  generalized solution
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