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Existence, uniqueness and stability
of traveling wave fronts of discrete quasi-linear equations with
delay
This paper is concerned with the existence, uniqueness and asymptotically stability of traveling wave fronts of
discrete quasi-linear equations with delay. We first establish the existence of traveling wave fronts by using
the super-sub solution and monotone iteration technique. Then we show that the traveling wave front is unique up
to a translation. At last, we employ the comparison principle and the squeezing technique to prove that the
traveling wave front is globally asymptotic stable with phase shift.