H-stability of the Runge-Kutta methods with general variable stepsize for system of pantograph equations with two delay terms  

H-stability of the Runge-Kutta methods with general variable stepsize for system of pantograph equations with two delay terms

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作  者:徐阳 刘明珠 赵景军 

机构地区:[1]Dept. of Mathematics, Harbin Institute of Technology

出  处:《Journal of Harbin Institute of Technology(New Series)》2003年第4期385-387,共3页哈尔滨工业大学学报(英文版)

基  金:SponsoredbytheNationalNaturalScienceFoundationofChina(GrantNo .10 2 710 3 6) .

摘  要:This paper deals with H-stability of the Runge-Kutta methods with a general variable stepsize for the system of pantograph equations with two delay terms. It is shown that the Runge-Kutta methods with a regular matrix A are H-stable if and only if the modulus of the stability function at infinity is less than 1.This paper deals with H-stability of the Runge-Kutta methods with a general variable stepsize for the system of pantograph equations with two delay terms. It is shown that the Runge-Kutta methods with a regular matrix A are H-stable if and only if the modulus of the stability function at infinity is less than 1.

关 键 词:delay differential equations STABILITY Runge-Kutta method 

分 类 号:O241.8[理学—计算数学]

 

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