This article is cited in 2 papers

First Order Equations without Mobile Critical Points

A. Kessi, K. M. Messaoud

Institut de Mathématiques, USTHB, BP 32 El Alia, 16 111, Bab Ezzouar, Alger, Algeria

Abstract: We study in this paper the ordinary differential equations which are polynomial of order $3$ with respect to $\omega'$, whose coefficients are polynomial with respect to $\omega$ and analytical with respect to $z$. We are looking for the sufficient conditions on the coefficients as functions of $z$, in order to have the solution $\omega$ with fixed critical points.

MSC: 32S70, 34A20, 34A05

Received: 12.12.2000

Language: English

DOI: 10.1070/RD2001v006n01ABEH000167

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