Regular Variation and Differential Equations
Edition: 1 edition
Publisher: Springer
Published: April 26, 2000
Language: eng
Format: Paperback
Number of pages: 127
ISBN-13: 9783540671602
Subjects: Applied mathematics; Calculus of variations; Science/Mathematics; Mathematical Statistics; Mathematics; Variational principles; General; Boundary layer equation; Differential equations of Thomas-Fermi type; Mathematics / Differential Equations; Second order linear differential equations; Probability & Statistics - General; Asymptotic theory; Differential Equations
Description: 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.
Notes: Lecture Notes in Mathematics