A stability criterion for a neutral difference equation with delay
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Abstract A stability criterion for a neutral difference equation with delay is established which extends and improves a result of Ladas et al. [1]. Our derivation is based on Lyapunov's direct method for stability, and avoids the approach employed by Ladas et al. who had considered asymptotic behaviors of oscillatory and nonoscillatory solutions.
[1] C. Qian,et al. Stability of solutions of linear nonautonomous difference equations , 1991 .