NGP_G-STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS  

作　　者：CONG Yu-hao(丛玉豪) 

机构地区：[1]Department of Mathematics, Shanghai Normal University, Shanghai 200234, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第7期827-835,共9页应用数学和力学（英文版）

基　　金：theYouthScienceFoundationofShanghaiHigherEducation ( 99QA80 ) ;ShanghaiDevelopmentFoundationofScienceandTechnology (ooJC1 40 5

摘　　要：The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations, After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP(G)-stable if and only if it is A-stable.The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations, After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP(G)-stable if and only if it is A-stable.

关 键 词：generalized neutral delay differential system asymptotic stability linear multistep methods NGP(G)-stability 

分 类 号：O241.8[理学—计算数学]