Regular variation and differential equations

Vojislav Marić

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.

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  • 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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書名 Regular variation and differential equations
著作者等 Vojislav Maric (University of Novi Sad Serbia)
Marić Vojislav
シリーズ名 Lecture notes in mathematics
出版元 Springer-Verlag
刊行年月 c2000
ページ数 x, 127 p.
大きさ 24 cm
ISBN 3540671609
NCID BA46229091
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言語 英語
出版国 ドイツ