Abstract
In this paper, using the method of differential inequalities, we study the existence of solutions and their asymptotic behavior, as ɛ→0+, of Dirichlt problem for second order quasilinear systems. Depending on whether the reduced solutionu(t) has or does not have a continuous first-derivative in (a, b), we study two types of asymptotic behaviour, thus leading to the phenomena of boundary and angular layers.
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