Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
ON THE EXISTENCE OF LIMIT CYCLES IN A FAMILY OF AUTONOMOUS THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS. |
| Συγγραφείς: |
MELLAL, ROMAISSA1 mellal.romaissa@univ-guelma.dz, SELLAMI, NABIL1 sellami.nabil@univ-guelma.dz |
| Πηγή: |
Bulletin of Mathematical Analysis & Applications. 2025, Vol. 17 Issue 3, p52-60. 9p. |
| Θεματικοί όροι: |
*Limit cycles, *Autonomous differential equations, *Zero (The number), *Ordinary differential equations, *Nonlinear functions |
| Περίληψη: |
This study focuses on identifying limit cycles within a specific class of third-order autonomous differential equations described by ... and are real with µ > 0. By employing first-order averaging theory, the problem of identifying limit cycles is reduced to an algebraic problem of determining non-degenerate zeros of a nonlinear function. This approach provides sufficient conditions ensuring the existence of limit cycles in the original differential equation. The efficacy of this work and the validity of the theoretical results are substantiated through illustrative applications. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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