Periodic solutions for a class of Duffing differential equations

Amina Feddaoui; Jaume Llibre; Amar Makhlouf

doi:10.2478/mjpaa-2019-0007

Periodic solutions for a class of Duffing differential equations

Amina Feddaoui, Jaume Llibre, Amar Makhlouf

Departament de Matemàtiques

Badji Mokhtar University

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

2 Cites (Scopus)

Resum

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

Idioma original	Anglès
Pàgines (de-a)	86-103
Nombre de pàgines	18
Revista	Moroccan Journal of Pure and Applied Analysis
Volum	5
Número	1
DOIs	https://doi.org/10.2478/mjpaa-2019-0007
Estat de la publicació	Publicada - 1 de juny 2019

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10.2478/mjpaa-2019-0007

https://ddd.uab.cat/record/222643

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title = "Periodic solutions for a class of Duffing differential equations",

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

keywords = "Duffing differential equation, Periodic solution, averaging method",

author = "Amina Feddaoui and Jaume Llibre and Amar Makhlouf",

note = "Publisher Copyright: {\textcopyright} 2019 Amina Feddaoui et al.",

year = "2019",

month = jun,

day = "1",

doi = "10.2478/mjpaa-2019-0007",

language = "English",

volume = "5",

pages = "86--103",

journal = "Moroccan Journal of Pure and Applied Analysis",

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TY - JOUR

T1 - Periodic solutions for a class of Duffing differential equations

AU - Feddaoui, Amina

AU - Llibre, Jaume

AU - Makhlouf, Amar

PY - 2019/6/1

Y1 - 2019/6/1

N2 - We provide sufficient conditions for the existence of periodic solutions for the class of Duffing differential equations 'Equation Presented', where the functions a(t), b(t), c(t) and h(t, x) are C2 and T-periodic in the variable t.

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

KW - Duffing differential equation

KW - Periodic solution

KW - averaging method

UR - http://www.scopus.com/inward/record.url?scp=85150779159&partnerID=8YFLogxK

U2 - 10.2478/mjpaa-2019-0007

DO - 10.2478/mjpaa-2019-0007

M3 - Article

AN - SCOPUS:85150779159

SN - 2605-6364

VL - 5

SP - 86

EP - 103

JO - Moroccan Journal of Pure and Applied Analysis

JF - Moroccan Journal of Pure and Applied Analysis

IS - 1

ER -

Periodic solutions for a class of Duffing differential equations

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