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Introduction

  • K. W. Chang
  • F. A. Howes
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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Copyright information

© 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

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