Exact and Sinusoidal Periodic Solutions of Lienard Equation Without Restoring Force

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DOI: https://doi.org/10.28924/2291-8639-20-2022-4
Published: Jan 18, 2022
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Jean Akande, Kolawolé Kêgnidé Damien Adjaï, Ayéna Vignon Régis Yehossou, Marc Delphin Monsia, Exact and Sinusoidal Periodic Solutions of Lienard Equation Without Restoring Force, Int. J. Anal. Appl., 20 (2022), 4.

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Jean Akande, Kolawolé Kêgnidé Damien Adjaï, Ayéna Vignon Régis Yehossou, Marc Delphin Monsia

Abstract

In this paper we study a Lienard equation without restoring force. Although this equation does not satisfy the classical existence theorems, we show, for the first time, that such an equation can exhibit harmonic periodic solutions. As such the usual existence theorems are not entirely adequate and satisfactory to predict the existence of periodic solutions.

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