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

Author

Ardjouni, Abdelouaheb and Djoudi, Ahcene

Subjects
*FIXED point theory, *NONLINEAR differential equations, *MATHEMATICAL mappings, *MATHEMATICAL variables, *GENERALIZATION, *NONLINEAR integral equations
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. [ABSTRACT FROM AUTHOR]

Published
2012

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