Journal of applied mathematics & informatics

  • 제42권1호
  • /
  • Pages.139-148
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  • 2024
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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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)
  • 투고 : 2023.06.20
  • 심사 : 2023.11.24
  • 발행 : 2024.01.30
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초록

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.

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과제정보

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

참고문헌

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