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Regular variation and differential equations

Author: Vojislav Marić
Publisher: Berlin : Springer, ©2000.
Series: Lecture notes in mathematics (En ligne), 1726.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This book offers 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  Read more...
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Additional Physical Format: Print version:
Marić, Vojislav, 1930-
Regular variation and differential equations.
Berlin : Springer, ©2000
(DLC) 00026589
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vojislav Marić
OCLC Number: 610008703
Notes: Titre de l'écran-titre (visionné le 12 mars 2010).
Description: 1 online resource (x, 127 p.).
Series Title: Lecture notes in mathematics (En ligne), 1726.
Responsibility: Vojislav Marić.

Abstract:

"This book offers 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 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."--Résumé de l'éditeur.

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