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Periodic solutions for a class of Duffing differential equations

Amina Feddaoui

Amina Feddaoui

Department of Mathematics, University of Annaba, Laboratory LMAAnnaba, Algeria
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Feddaoui, Amina
, 
Jaume Llibre

Jaume Llibre

Departament de Matematiques, Universitat Aut`onoma de BarcelonaBarcelona, Spain
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Llibre, Jaume
 and 
Amar Makhlouf

Amar Makhlouf

Department of Mathematics, University of Annaba, Laboratory LMAAnnaba, Algeria
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Makhlouf, Amar
  
Nov 08, 2019
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Published Online: Nov 08, 2019
Page range: 86 - 103
Received: Aug 31, 2019
Accepted: Oct 06, 2019
DOI: https://doi.org/10.2478/mjpaa-2019-0007
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© 2019 Amina Feddaoui et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We provide sufficient conditions for the existence of periodic solutions for the class of Duffing differential equations

x″+c(t)x′+a(t)x+b(t)x3=h(t,x),x'' + c(t)x' + a(t)x + b(t){x^3} = 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.

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English
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Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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