Periodic solutions for image-dimensional generalized Liénard type image-Laplacian functional differential system Original Research Article

We consider the nn-dimensional generalized Liénard system View the MathML sourceddtϕp[(x(t)−Cx(t−τ))′]+ddt∇F(x(t−τ))+∇G(x(t−δ(t)))=e(t) Turn MathJax on 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.