Open AccessExact and Sinusoidal Periodic Solutions of Lienard Equation Without Restoring Force
Author(s) -
J. Akande,
K. K. D. Adjaï,
A.V. R. Yehossou,
M. D. Monsia
Publication year - 2022
Publication title -
international journal of analysis and applications
Language(s) - English
Resource type - Journals
ISSN - 2291-8639
DOI - 10.28924/2291-8639-20-2022-4
Subject(s) - mathematics , liénard equation , restoring force , mathematical analysis , harmonic , exact differential equation , classical mechanics , differential equation , physics , ordinary differential equation , quantum mechanics
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.