Existence of periodic solutions for a class of second order ordinary differential equations

We provide sufficient conditions for the existence of a periodic solution for a class of second order differential equations of the form x¨ + g(x) = εf(t, x, x˙, ε), where ε is a small parameter.

Detalhes bibliográficos
Autores: Garcia, Antonio, Llibre, Jaume|||0000-0002-9511-5999
Tipo de documento: artigo
Data de publicação:2019
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:228090
Acesso em linha:https://ddd.uab.cat/record/228090
https://dx.doi.org/urn:doi:10.1007/s10440-019-00295-9
Access Level:Acceso aberto
Palavra-chave:Periodic orbit
Second-order differential equation
Averaging theory
Descrição
Resumo:We provide sufficient conditions for the existence of a periodic solution for a class of second order differential equations of the form x¨ + g(x) = εf(t, x, x˙, ε), where ε is a small parameter.