具有连续变量非线性差分系统的稳定及振动性  

Stability and Oscillation Criteria for Non-linear Differential Equations with Continuous Variables

作　　者：杨玉华[1] 

机构地区：[1]华北电力大学计算科学与信息系,河北保定071003

出　　处：《华北电力大学学报（自然科学版）》2001年第1期76-80,共5页Journal of North China Electric Power University：Natural Science Edition

摘　　要：以微积分为工具讨论了具有连续变量的非线性差分系统的稳定性和振动性，给出了系统稳定的新判据和系统振动的充分必要条件及线性系统存在非振动解的充分必要条件。The stability and oscillation characteristics with continuous variables are discussed by using differential-integral method. A new criterion for the system stability is proposed. The conditions for both system oscillation and non-oscillation solution of the linear system are given.

关 键 词：差分方程 稳定性 振动性 非线性差分系统 

分 类 号：O241.84[理学—计算数学]