Quick search Find article
Quick search
Find article

Analysing the structure of the integrating factors for first-order ordinary differential equations with Liouvillian functions in the solution

L G S Duarte1, S E S Duarte2 and L A C P da Mota1

Show affiliations


Here we demonstrate a theorem concerning the general structure of the integrating factor for first-order ordinary differential equations whose solutions contain Liouvillian functions. This result assures the generality of a method presented in a forthcoming paper extending the usual Prelle-Singer approach.


PACS

02.30.Hq Ordinary differential equations

MSC

37F10 Polynomials; rational maps; entire and meromorphic functions (See also 32A10, 32A20, 32H02, 32H04)

34Axx General theory

Subjects

Mathematical physics

Dates

Issue 4 (1 February 2002)

Received 10 August 2001, in final form 9 October 2001

Published 18 January 2002



View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.