Remarks on the method of comparison equations (generalized WKB method)
  and the generalized Ermakov-Pinney equation

A. Kamenshchik; BS DeWitt; CJ Eliezer; E Pinney; F Finelli; FWJ Olver; G. Venturi; HR Lewis; IS Gradstein; J Martin; JR Ray; LI Schiff; M. Luzzi; MV Berry; MV Ioffe; R Casadio; RB Dingle; RB Dingle; RE Langer; SC Miller Jr; U Fano; VP Ermakov; WE Milne

research

Remarks on the method of comparison equations (generalized WKB method) and the generalized Ermakov-Pinney equation

Authors: A. Kamenshchik
BS DeWitt
CJ Eliezer
E Pinney
F Finelli
FWJ Olver
G. Venturi
HR Lewis
IS Gradstein
J Martin
JR Ray
LI Schiff
M. Luzzi
MV Berry
MV Ioffe
R Casadio
RB Dingle
RB Dingle
RE Langer
SC Miller Jr
U Fano
VP Ermakov
WE Milne
Publication date: 9 February 2006
Publisher: 'Springer Science and Business Media LLC'
Doi

Abstract

The connection between the method of comparison equations (generalized WKB method) and the Ermakov-Pinney equation is established. A perturbative scheme of solution of the generalized Ermakov-Pinney equation is developed and is applied to the construction of perturbative series for second-order differential equations with and without turning points.Comment: The collective of the authors is enlarged and the calculations in Sec. 3 are correcte

Similar works

Full text

Available Versions

Archivio istituzionale della ricerca - Alma Mater Studiorum Università di Bologna

oai:cris.unibo.it:11585/89825

Last time updated on 03/09/2019

Crossref

Last time updated on 03/12/2019