非线性边界条件下一类偏微分方程组解的存在性  

Existence of Solutions of A Kind of Partial Differential Equations with Nonlinear Boundary Conditions

作　　者：李银玉[1] 王银珠[1] 赵嬛嬛[1] 陈金梅[1] 

机构地区：[1]太原理工大学,山西太原030024

出　　处：《太原理工大学学报》2005年第6期757-759,768,共4页Journal of Taiyuan University of Technology

摘　　要：同时考虑材料的粘性效应及非线性外阻尼,建立了一类弯曲与扭转联合作用下的有部分不同的方程组,研究了弯曲与扭转联合作用下的非线性梁方程组的初边值问题,并运用Faedo-Galerkin方法,证明了在非线性边界条件下方程组整体解的存在性。In this paper, the system of nonlinear beam equations acted by the joint effect of winding and twisting is considered. The existence of the global solution for the system under some certain initial and nonlinear boundary conditions is proved use Faedo-Galerkin method.

关 键 词：非线性边界条件 整体解 非线性梁 

分 类 号：O175.27[理学—数学]