Regular Variation and Differential Equations / by Vojislav Marić.

Format:

Book

Author/Creator:

Marić, Vojislav, 1930- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1726.

Lecture Notes in Mathematics, 0075-8434 ; 1726

Language:

English

Subjects (All):

Differential equations, Partial.

Partial Differential Equations.

Local Subjects:

Partial Differential Equations.

Physical Description:

1 online resource (CXLIV, 134 pages).

Contained In:

Springer eBooks

Place of Publication:

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

System Details:

text file PDF

Summary:

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.

Other Format:

Printed edition:

ISBN:

9783540465201

Access Restriction:

Restricted for use by site license.