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| Periodic Solutions for Two Classes of Duffing Differential Equations via Averaging Theory |
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| KeyWord:Periodic solution, Duffing differential equation, averaging theory |
| Author Name | Affiliation | | Afef Amina Rabia | Department of Mathematics, Laboratory LMA, Badji Mokhtar - Annaba University, 12, P.O. Box 23000 Annaba, Algeria | | Jaume Llibre | Departament de Matematics, Universitat Aut\`{o}noma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain | | Amar Makhlouf | Department of Mathematics, Laboratory LMA, Badji Mokhtar - Annaba University, 12, P.O. Box 23000 Annaba, Algeria |
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| Abstract: |
| The aim of this paper is to present sufficient conditions for the existence of periodic solutions in two classes of Duffing differential equations. While previous studies have focused on numerical results for these equations, this paper offers new analytical findings using averaging theory. Moreover, we illustrate various applications of the results obtained. All computations have been verified using the algebraic manipulator Mathematica. |
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