On Existence Inverse Integrating Factors and First Integrals for Cubic in 2D Autonomous Differential System

  • Ahmed M. Hussien Department of Mathematics, College of Science, University of Duhok, Kurdistan region-Iraq
  • Azad I. Amen Department of Mathematics, College of Basic Education, Salahaddin University, Kurdistan region-Iraq

Abstract





In this paper, we study the existence of inverse integrating factors and first integrals for cubic in two-dimensional autonomous system. We found that the inverse integrating factors and first integrals exist for our choosing system. This result contributes that the limit cycles for cubic in two-dimensional autonomous system does not exist.



Published
Jun 12, 2018
How to Cite
HUSSIEN, Ahmed M.; AMEN, Azad I.. On Existence Inverse Integrating Factors and First Integrals for Cubic in 2D Autonomous Differential System. ZANCO Journal of Pure and Applied Sciences, [S.l.], v. 30, n. 3, p. 56-72, june 2018. ISSN 2412-3986. Available at: <http://zancojournals.su.edu.krd/index.php?journal=JPAS&page=article&op=view&path%5B%5D=1815>. Date accessed: 25 june 2018.
Section
Articles

Keywords

existence inverse integrating factors, polynomial inverse integrating factor and first integrals