Regular Variation and Differential Equations

1. Auflage 2000
ISBN: 978-3-540-67160-2
Verlag: Springer

Buch, Englisch, Band 1726, 134 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 480 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Maric, Vojislav

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

I Linear equations: Existence of regular solutions: Preliminaries.- The case f(x)