Regular variation and differential equations
Author(s)
Bibliographic Information
Regular variation and differential equations
（Lecture notes in mathematics, 1726）
Springer-Verlag, c2000
Available at / 81 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||172678800002
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Note
Includes bibliographical references (p. [119]-124) and index
Description and Table of Contents
Description
This is the first book offering an application of regular variation to the qualitative theory of differential equations. The notion of regular variation, introduced by Karamata (1930), extended by several scientists, most significantly de Haan (1970), is a powerful tool in studying asymptotics in various branches of analysis and in probability theory. Here, some asymptotic properties (including non-oscillation) of solutions of second order linear and of some non-linear equations are proved by means of a new method that the well-developed theory of regular variation has yielded. A good graduate course both in real analysis and in differential equations suffices for understanding the book.
Table of Contents
Existence of regular solutions.- Asymptotic behaviour of regular solutions.- Equations of thomas-fermi type.- An equation arising in boundary-layer theory.
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