Article Contents
Article Contents

# 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.
Mathematics Subject Classification: Primary: 34K30; 35B40; Secondary: 35R10, 58D25.

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