摘要
在考虑强阻尼效应的情形下,研究了一类轴向载荷作用下的弹性波动方程的扰动问题的整体解的性态。以Sobolev空间的性质为工具,利用Gronwall不等式及数学归纳法,证明了该扰动问题在线性边界条件下弱解的存在唯一性。
In this paper, We considered the case of strong damping effect, established a class of the beam equation with axial loading. We studied the global solution of the perturbed problem of the nonlinear beam equation with strong damping. Sobolev space properties as a tool, We proved the existence of weak solutions of the perturbed problem.
出处
《山西大同大学学报（自然科学版）》
2012年第5期19-20,38,共3页
Journal of Shanxi Datong University(Natural Science Edition)
基金
忻州师范学院自然科学基金[201124]
关键词
非线性
梁方程
扰动问题
整体解
nonlinear
the beam equation
the perturbed problem
the global solution
