Regular Variation and Differential Equations. 1st ed. 2000

種類:

電子ブック

責任表示:

by Vojislav Maric

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000

著者名:

• Maric, Vojislav.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1726

ISBN:

9783540465201 [3540465200]    

注記:

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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