Theory of exact trigonometric periodic solutions to quadratic Liénard type equations

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AuteurMONSIA, MARC DELPHIN
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2018
ResumeA mathematical theory is developed through generalized Sundman transformation to show the existence of classes of quadratic Liénard type equations which admit exact and explicit general trigonometric solutions but with amplitude-dependent frequency. The application of the theory to compute also exact and explicit general periodic solutions to nonlinear differential equations like inverted Painlevé-Gambier equations in terms of trigonometric or Jacobian elliptic functions is highlighted by some illustrative examples.
Autre identifiantBECDB-9723
URIhttps://dspace.uac.bj/handle/123456789/8662
Languefr
Fait partie deJournal of Mathematics and Statistics
SujetLiénard Equations
SujetPainlevé-Gambier Equations
SujetPeriodic Solution
SujetGeneralized Sundman Transformation
TitreTheory of exact trigonometric periodic solutions to quadratic Liénard type equations
TypeArticle

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