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Regular Variation and Differential Equations

  • Book
  • © 2000

Overview

Authors:
  1. Vojislav Marić
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1726)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Vojislav Marić
    Pages 1-8

  3. Existence of regular solutions

    • Vojislav Marić
    Pages 9-47

  4. Asymptotic behaviour of regular solutions

    • Vojislav Marić
    Pages 49-70

  5. Equations of thomas-fermi type

    • Vojislav Marić
    Pages 71-104

  6. An equation arising in boundary-layer theory

    • Vojislav Marić
    Pages 105-114

  7. Back Matter

    Pages 115-132
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Regular Variation and Differential Equations

  • Authors: Vojislav Marić

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0103952

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-67160-2Published: 27 March 2000

  • eBook ISBN: 978-3-540-46520-1Published: 06 May 2007

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CXLIV, 134

  • Topics: Partial Differential Equations

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