Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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LIMIT CYCLES FOR A CLASS OF FIFTH-ORDER DIFFERENTIAL EQUATIONS

  • ACHREF EDDINE TABET (Department of Mathematics, Laboratory LMA, University of Annaba) ;
  • AMAR MAKHLOUF (Department of Mathematics, Laboratory LMA, University of Annaba)
  • Received : 2023.06.20
  • Accepted : 2023.11.24
  • Published : 2024.01.30
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Abstract

The purpose of this research is to investigate sufficient conditions for the existence of limit cycles of the fifth-order differential equation x(5) + (p2 + q2)$_{x}^{...}$ + p2q2$_{x}^{.}$ = εF(t, x, $_{x}^{.}$, $_{x}^{..}$, $_{x}^{...}$, $_{x}^{....}$), where p, q are rational numbers different from 0, p ≠ ±q, ε is a small real parameter, and F is a 2kπ-periodic function in the variable t. Also, we provide some applications.

Keywords

Acknowledgement

The authors thankful to the reviewers for valuable suggestion to improve the manuscript.

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