E. P. Volokitin, V. M. Cheresiz, “An integrating factor of the Darboux differential systems”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>1260

This article is cited in 1 paper

Differentical equations, dynamical systems and optimal control

An integrating factor of the Darboux differential systems

E. P. Volokitin^ab, V. M. Cheresiz^a

^a Sobolev Institute of Mathematics 4, Acad. Koptyug ave., Novosibirck, 630090, Russia
^b Novosibirsk State University, 2, Pirogova str., Novosibirck, 630090, Russia

Abstract: We construct the integrating factor of the differential systems of the form $\dot x= x+P_n(x,y), \ \dot y=y+Q_n(x,y)$ where $P_n(x,y)$ and $Q_n(x,y)$ are homogeneous polynomials.

Keywords: polynomial systems, integrating factor, polynomial first integrals, rational first integrals, symmetries.

UDC: 517.925

MSC: 34С05

Received July 2, 2019, published September 19, 2019

DOI: 10.33048/semi.2019.16.085