摘要
推广了秦元勋关于微分方程的区域分析理论,提出了一种求解非线性振动微分方程的新方法——改进的区域分析方法。应用该法可简便地研究多种复杂的非线性振动微分方程,求得第一次近似解析解。
This paper advances the theory of regional analysis of differential equations, put forward by Chin Yuanshun, and presents a new method—improved method of regional analysis to solve differential equations of nonlinear vibration. This method can be used in the study of many complicated differential eqations of nonlinear vibration to obtain the first approximate solution.
出处
《天津大学学报》
EI
CAS
CSCD
1990年第2期66-73,共8页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金
关键词
非线性
振动
微分方程
区域分析法
nonlinear vibration, theory of regional analysis, annular domain
