- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 3
- On the integration of first order nonlinear differential equations and the conditions of Fuchs' theo...
On the integration of first order nonlinear differential equations and the conditions of Fuchs' theorem
Authors : Arezki Kessi, Toufik Laadj, Moussa Yahi
Pages : 347-353
Doi:10.31197/atnaa.1059343
View : 14 | Download : 4
Publication Date : 2022-09-30
Article Type : Research
Abstract :In this paper we give the general solutions of a class of first order nonlinear Fuchs ordinary differential equations. This leads us to show by an example that the necessary conditions of Fuchs' theorem are not sufficient.Keywords : Fuchs, movable critical points, sufficient conditions