We obtained the spatial growth and decay estimates for solutions of a class of quasilinear equations modelling dynamic viscoelasticity in a domain Omega x (0, T), where Omega subset of R-n is a semi-infinite cylinder. (C) ...

The aim of this study is to present spatial estimates of Phragmen-Lindelof type for a dynamical system. We show that an appropriate measure of the solutions either tends to infinity by exponential rate or decays to zero ...