Fixed points and stability in nonlinear neutral differential equations with variable delays

  • Abdelouaheb Ardjouni University of Annaba, Department of Mathematics
  • Ahcene Djoudi University of Annaba, Department of Mathematics

Abstract

In this paper we use the contraction mapping theorem to obtain asymptotic stability results of a nonlinear neutral differential equation with variable delays. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some previous results due to T. A. Burton [6], B. Zhang [20], Y. M. Dib, M. R. Maroun, Y. N. Raffoul [14]. Two examples are also given to illustrate our work.
Published
2012-08-24
Section
Articles