Abstract:We study the existence of subharmonic solutions in the system ü(t) = f (t, u(t)), where u(t) ∈ R k and f is an even and p-periodic function in time. Under some additional symmetry conditions on the function f , the problem of finding mp-periodic solutions can be reformulated in a functional space as a Γ × Z2 × Dm-equivariant equation, where the group Γ × Z2 acts on the space R k and Dm acts on u(t) by time-shifts and reflection. We apply Brouwer equivariant degree to prove the existence of an infinite number o… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.