Multiplicity and minimality of periodic solutions to delay differential system

Abstract

In this article, we study periodic solutions of a class of delay differential equations. By restricting our discussion on generalized Nehari Manifold, some sufficient conditions are obtained to guarantee the existence of infinitely many pairs of periodic solutions. Also, there exists at least one periodic solution with prescribed minimal period.

Keywords

• Nehari Manifold
• periodic solution
• delay differential equation
• minimal period