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

• Articles • Previous Articles     Next Articles

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

CONG Yu-hao   

  1. 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)

Abstract: 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.

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