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具强阻尼强迫项非线性梁方程的整体解
引用本文:吴高芬,罗虎啸,胡淑珍.具强阻尼强迫项非线性梁方程的整体解[J].太原师范学院学报(自然科学版),2011,10(2):57-60.
作者姓名:吴高芬  罗虎啸  胡淑珍
作者单位:太原理工大学数学系,山西太原,030024
摘    要:文章在考虑强阻尼效应情形下,研究了一类轴向载荷和横向载荷作用下的Kirch-hoff-type梁方程,在Soblove空间里利用Faedo-Galerkin法,证明了该方程在一定初边值条件下整体解的存在唯一性.

关 键 词:强阻尼  非线性  Galerkin法  整体解

The Global Solutions for the Nonlinear Beam Equation with Strongly Damping and Distributed Load
Wu Gaofen Luo Huxiao Hu Shuzhen.The Global Solutions for the Nonlinear Beam Equation with Strongly Damping and Distributed Load[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(2):57-60.
Authors:Wu Gaofen Luo Huxiao Hu Shuzhen
Institution:Wu Gaofen Luo Huxiao Hu Shuzhen(Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
Abstract:By considering the strong damping effect,we studied a kind of Kirchhoff-type beam equations subjected to axial force and transverse load.The existence and uniqueness of global solutions for the equations under the certain initial-boundary value condition
Keywords:strong damping  nonlinear boundary  Galerkin method  global solutions
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