New exact general solutions of Abel equation of the second kind
type: Item
instance of: scholarly article
title: New exact general solutions of Abel equation of the second kind
zbMATH Open document ID: 1194.34002
author: Lazhar Bougoffa
published in: Applied Mathematics and Computation
publication date: 2010-04-14T00:00:00Z
review text: The Abel equation of the second kind \[ [g_0(x) + g_1(x)u]u' = f_0(x) + f_1(x)u + f_2(x)u^2 \] is considered. Under some conditions the author determines the general solutions of the above Abel equation.
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 5692823
zbMATH Keywords: Abel equation
zbMATH Keywords: exact general solutions
reviewed by: Ilia V. Boikov
MaRDI profile type: Publication
full work available at URL: j.amc.2010.01.114
OpenAlex ID: W2072602308
cites work: Non-local symmetries of first-order equations
cites work: Q4234535
cites work: Abel ODEs: Equivalence and integrable classes
cites work: An Abel ordinary differential equation class generalizing known integrable classes
cites work: Q3292729
cites work: Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs I: Abel's equations
cites work: Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs
cites work: Q4890882
DOI: 10.1016/J.AMC.2010.01.114
description: scientific article; zbMATH DE number 5692823