Periodic solutions for nn-dimensional generalized Liénard type pp-Laplacian functional differential system

We consider the nn-dimensional generalized Liénard system ddtϕp[(x(t)−Cx(t−τ))′]+ddt∇F(x(t−τ))+∇G(x(t−δ(t)))=e(t) driven by the scalar p  -Laplacian, CC is an n×nn×n symmetric matrix of constants.Using the degree theory, we establish some criteria to guarantee the existence of periodic solutions for the above system, which generalize and improve on the corresponding results in the related literature.