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Published in:
1981 | OriginalPaper | Chapter
Introduction
Authors : J. Kevorkian, J. D. Cole
Published in: Perturbation Methods in Applied Mathematics
Publisher: Springer New York
Included in: Professional Book Archive
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We will use the conventional order symbols as a mathematical measure of the relative order of magnitude of various quantities. Although generalizations are straightforward, we need only be concerned with scalar functions of real variables. In the definitions which follow φ, ψ, etc. are scalar functions of the variable x (which may be a vector) and the scalar parameter ε. The variable x ranges over some domain D and ε belongs to some interval I.