An integrating factor of the Darboux differential systems

Evgenii Pavlovich Volokitin, Cheresiz Vladimir Mikhailovich

Research output: Contribution to journalArticlepeer-review

Abstract

We construct the integrating factor of the differential systems of the form x_ = x+Pn(x; y); y_ = y+Qn(x; y) where Pn(x; y) and Qn(x; y) are homogeneous polynomials.

Translated title of the contributionИнтегрирующий множитель дифференциальных систем типа Дарбу
Original languageEnglish
Article number85
Pages (from-to)1260-1275
Number of pages16
JournalSiberian Electronic Mathematical Reports
Volume16
DOIs
Publication statusPublished - 2019

Keywords

  • Integrating factor
  • Polynomial first integrals
  • Polynomial systems
  • Rational first integrals
  • Symmetries

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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