Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (7): 681-685.

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THE SUFFICIENT AND NECESSARY CONDITIONS OF UNCONDITIONAL STABILITY AND THE DELAY BOUND OF THE THIRD-ORDER NEUTRAL DELAY DIFFERENTIAL EQUATION

Chen Jun-ping, Li Zhi-yong   

  1. Department of Applied Mathematics of Chongqing University, Chongqing
  • Received:1989-12-16 Online:1991-07-18 Published:1991-07-18

Abstract: In this paper, the sufficient and necessary conditions of the unconditional stability, and the delay bound of the third-order neutral delay differential equation with real constant coefficients are given. The conditions are brief and practical algebraic criterions Furthermore, we get the delay bound.

Key words: differential-difference equations, unconditional stability, algebraic criterion

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