Limit cycles of the sixth-order non-autonomous differential equation | Zendy

Amar Makhlouf | Zendy; Chems Eddine Berhail | Zendy

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Limit cycles of the sixth-order non-autonomous differential equation

Author(s) -

Amar Makhlouf,

Chems Eddine Berhail

Publication year - 2012

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2012.03.003

Subject(s) - mathematics , order (exchange) , limit (mathematics) , differential equation , mathematical analysis , nonlinear system , function (biology) , differential (mechanical device) , pure mathematics , physics , quantum mechanics , finance , evolutionary biology , economics , biology , thermodynamics

We provide sufficient conditions for the existence of periodic solutions of the sixth-order differential equationx(6)+(1+p2+q2)x....+(p2+q2+p2q2)x¨+p2q2x=εF(t,x,x˙,x¨,x...,x....,x),where p and q are rational numbers different from 1, 0, −1 and p≠q, ε is small and F is a nonlinear non-autonomous periodic function. Moreover we provide some applications

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