一类轴向力与非线性外力混合作用下梁系统的整体解

Global Solutions for a Class of Beam System Under the Joint Impact of Axial Force and Nonlinear External Force

研究了一类轴向力与非线性外力混合作用下梁系统整体解的存在唯一性,通过Galerkin方法证明了非线性项在适当条件下,该系统整体L∞(0,T;H40(Ω))解在不高于4维的空间中存在且唯一.

In this paper the existence and uniqueness of the global solutions for a class of beam system under the joint impact of axial force and nonlinear external force are studied,and then by using Galerkin method,the existence and uniqueness of global L∞ （0,T;H40（Ω）） Symbole solution of the system is proved in not more than four-dimensional spaces when the nonlinear term is under appropriate conditions.