Regular variation and differential equations

著者

    • Marić, Vojislav

書誌事項

Regular variation and differential equations

Vojislav Marić

(Lecture notes in mathematics, 1726)

Springer-Verlag, c2000

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注記

Includes bibliographical references (p. [119]-124) and index

内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA46229091
  • ISBN
    • 3540671609
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    x, 127 p.
  • 大きさ
    24 cm
  • 親書誌ID
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