Periodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations

Affiliation auteurs!!!! Error affiliation !!!!
TitrePeriodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations
Type de publicationJournal Article
Year of Publication2020
Auteursda Silva CEL, Jacquemard A, Teixeira MA
JournalJOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
Volume26
Pagination17-44
Date PublishedJAN
Type of ArticleArticle
ISSN1079-2724
Mots-clésFilippov systems, Non-autonomous, Non-smooth differential equations, periodic solutions, Second order
Résumé

We consider the second-order discontinuous differential equation y('') + eta sgn(y) = & x1d703;& xdf03;y + alpha sin(beta t) where the parameters eta, & x1d703;& xdf03;, alpha, and beta are real. The main goal is to discuss the existence of periodic solutions. Under explicit conditions, the number of such solutions is given. Furthermore, for each of these periodic solutions, an explicit formula is provided.
DOI10.1007/s10883-018-9426-7