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Regular Variation and Differential Equations

Regular Variation and Differential Equations

Paperback

Series: Lecture Notes in Mathematics, Book 1726

Medical ReferenceGeneral Mathematics

ISBN10: 3540671609
ISBN13: 9783540671602
Publisher: Springer Nature
Published: Mar 27 2000
Pages: 134
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English
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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