THE STABILITY OF θ-METHODS FOR PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS  

作　　者：梁久祯 邱深山 刘明珠 

机构地区：[1]Daqing Petroleum Institute,Heilongjiang,Anda 151400,PRC [2]Harbin Institute of Technology,Heilongjiang,Harbin 150001,PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第1期80-85,共6页

摘　　要：This paper deals with the numerical solution of initial value problems for pantograph differential equations with variable delays. We investigate the stability of one leg θ-methods in the numerical solution of these problems. Sufficient conditions for the asymptotic stability of θ-methods are given by Fourier analysis and Ergodic theory.This paper deals with the numerical solution of initial value problems for pantograph differential equations with variable delays. We investigate the stability of one leg θ-methods in the numerical solution of these problems. Sufficient conditions for the asymptotic stability of θ-methods are given by Fourier analysis and Ergodic theory.

关 键 词：PANTOGRAPH delay differential EQUATIONS Θ-METHODS numerical solution ASYMPTOTIC stability. 

分 类 号：O175[理学—数学]