#### Malik Belaid, Abdelouaheb Ardjouni, Ahcene Djoudi, Global asymptotic stability in nonlinear neutral dynamic equations on time scales, Vol. 2018 (2018), Article ID 1, pp. 1-10

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DOI: 10.23952/jnfa.2018.1

Received April 14, 2017; Accepted December 7, 2017; Published January 1, 2018

Abstract. This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral dynamic equations in $C_{rd}^{1}$. By converting the nonlinear neutral dynamic equation into an equivalent integral equation, our main results are obtained via the Banach contraction mapping principle.