Part of the Applied Mathematical Sciences book series (AMS, volume 56)
We are mainly interested in quasilinear and nonlinear boundary value problems, to which some well-known methods, such as the methods of matched asymptotic expansions and two-variable expansions are not immediately applicable. For example, let us consider the following boundary value problem(cf. O’Malley , Chapter 5)
$$ \varepsilon y'' = y'^2 , 0 < t < 1, $$
$$ y(0,\varepsilon ) = 1, y(1,\varepsilon ) = 0. $$
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