运用差分特征列方法精确求解一类非线性有理差分方程
Using differential characteristic set method to accurately solve a class of nonlinear rational difference equations
程欣宇 1蒋鲲1
作者信息
- 1. 黑龙江大学数学科学学院,哈尔滨 150080
- 折叠
摘要
运用差分特征列方法来求解一组有理差分方程,即一类非线性差分方程.首先介绍了差分方程及特征列方法的理论知识,进而运用差分特征列方法对一类非线性差分方程组进行化简,通过有效化、判断一致性、可约分解等步骤,最终根据整序定理和零点分解定理得到这类非线性零点集.
Abstract
The differential characteristic set method has been used to solve a set of rational difference equations,namely a class of non-linear difference equations.The theoretical knowledge of difference equations and characteristic set methods is introduced firstly.Then,the difference characteristic set method is applied to simplify a class of nonlinear difference equation systems.Through steps such as effectiveness,consistency judgment and reducible decomposition,the zero point set based on the whole order theorem and zero decomposition theorem is finally obtained.
关键词
差分方程/特征列方法/非线性/零点集Key words
difference equation/characteristic set method/nonlinear/zero point set引用本文复制引用
基金项目
国家自然科学基金资助项目(31570492)
出版年
2024
NETL
NSTL
万方数据