Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (8): 1141-1148 .doi: https://doi.org/10.1007/s10483-006-0815-y

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ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS

Cemil Tunç   

  1. Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yιl University, 65080, Van-Turkey
  • Received:2005-02-22 Revised:2005-08-18 Online:2006-08-18 Published:2006-08-18

Abstract: By the use of the Liapunov functional approach, a new result is obtained to
ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established result is less restrictive than those reported in the literature.

Key words: non-linear delay differential equations of fourth order, stability, Liapunov functional approach

2010 MSC Number: 

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