# Introduction

• K. W. Chang
• F. A. Howes
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 56)

## Abstract

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 [75], Chapter 5)
$$\varepsilon y'' = y'^2 , 0 < t < 1,$$
(A)
$$y(0,\varepsilon ) = 1, y(1,\varepsilon ) = 0.$$
(B)

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© Springer Science+Business Media New York 1984

## Authors and Affiliations

• K. W. Chang
• 1
• F. A. Howes
• 2
1. 1.Department of MathematicsUniversity of CalgaryCalgaryCanada
2. 2.Department of MathematicsUniversity of CaliforniaDavisUSA