Periodic solutions for a class of Duffing differential equations

We provide sufficient conditions for the existence of periodic solutions in the class of Duffing differential equations x" + c(t)x' + a(t)x + b(t)x3 = h(t,x), where the functions a(t), b(t), c(t) and h(t,x) are C2 and T-periodic in the variable t.

Detalles Bibliográficos
Autores: Feddaoui, Amina, Llibre, Jaume|||0000-0002-9511-5999, Makhlouf, Ammar
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:222643
Acceso en línea:https://ddd.uab.cat/record/222643
https://dx.doi.org/urn:doi:10.2478/mjpaa-2019-0007
Access Level:acceso abierto
Palabra clave:Periodic solution
Averaging method
Duffing differential equation
Descripción
Sumario:We provide sufficient conditions for the existence of periodic solutions in the class of Duffing differential equations x" + c(t)x' + a(t)x + b(t)x3 = h(t,x), where the functions a(t), b(t), c(t) and h(t,x) are C2 and T-periodic in the variable t.