On the existence and stability of periodic solutions for a nonlinear neutral functional differential equation (Q369741)

The aim of this paper is to establish some criteria to guarantee the existence and stability of periodic solutions of a neutral functional differential equation of the type NEWLINE\[NEWLINE\frac d{dt} D u_t= p(t) -a u(t) -aqu(t-r)-h(u(t), u(t-r)), NEWLINE\]NEWLINE where \(Du_t=u(t)-qu(t-r)\).NEWLINENEWLINEThe main results obtained extend some existing results. Couple of examples are provided to illustrate the applicability of their results.