On the integration of first order nonlinear differential equations and the conditions of Fuchs’ theorem – Advances in the theory of nonlinear analysis and its applications

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Original research article

On the integration of first order nonlinear differential equations and the conditions of Fuchs' theorem

Author(s):

Arezki Kessi, Toufik Laadj, Moussa Yahi

Department of Mathematics, University of Science and Technology Houari Boumediene (USTHB), Algiers, Algeria.

Advances in the Theory of Nonlinear Analysis and its Applications 6(3), 347-353.

Received: January 18, 2022

Accepted: April 18, 2022

Published: April 20, 2022

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’ theorem, movable critical points, sufficient conditions.

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APA Style

Kessi, A., Laadj, T., & Yahi, M. On the integration of first order nonlinear differential equations and the conditions of Fuchs’ theorem. Advances in the Theory of Nonlinear Analysis and its Application, 6(3), 347-353.