Periodic solutions in reversible systems in second order systems with distributed delays

Abstract

In this paper, we study the existence and multiplicity of periodic solutions to a class of second-order nonlinear differential equations with distributed delay. Under assumptions that the nonlinearity is odd, differentiable at zero and satisfies the Nagumo condition, by applying the equivariant degree method, we prove that the delay equation admits multiple periodic solutions. The results are then illustrated by an example.

Keywords

• delay differential system
• distributed delay
• equivariant degree
• periodic solutions