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

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (7): 827-835.

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

丛玉豪

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

收稿日期:2000-03-03 修回日期:2001-03-30 出版日期:2001-07-18 发布日期:2001-07-18
基金资助:
the Youth Science Foundation of Shanghai Higher Education(99QA80);Shanghai Development Foundation of Science and Technology(ooJC14057)

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

CONG Yu-hao

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

Received:2000-03-03 Revised:2001-03-30 Online:2001-07-18 Published:2001-07-18
Supported by:
the Youth Science Foundation of Shanghai Higher Education(99QA80);Shanghai Development Foundation of Science and Technology(ooJC14057)

摘要/Abstract

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.

中图分类号:

O241.8

丛玉豪. NNGP-G-STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 827-835.

CONG Yu-hao . NGP-G-STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 827-835.

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