常微分方程中比较原理的应用  

作　　者：田苗青[1] 郜欣春[1] 

机构地区：[1]郑州大学西亚斯国际学院文理学院,河南新郑451150

出　　处：《高教学刊》2016年第11期253-253,255,共2页Journal of Higher Education

摘　　要：在研究非线性系统问题时,比较原理起着举足轻重的作用。比较原理可以将研究非线性问题转化为线性问题,使问题简单化,并得到非线性问题解的一些重要性质,从而给研究这些非线性问题所对应的实际问题提供了理论依据。文章主要通过举两个简单的例子说明比较原理的用法。Comparison principle plays a crucial role in the study of nonlinear system, and the nonlinear prob- lem is transformed into a linear problem through the principle. Thus, it is easy to solve and get some important properties of the nonlinear system, which helps to study the practical problem corresponding to the nonlinear model. This paper illustrates the use of the comparison principle through a few simple examples.

关 键 词：比较原理 非线性系统 解的性质 

分 类 号：O175.14[理学—数学]