Periodic solutions to a second order image-Laplacian neutral functional differential system Original Research Article

By analyzing some properties of the linear difference operator A:[Ax](t)=x(t)−Cx(t−τ)A:[Ax](t)=x(t)−Cx(t−τ) first, and then using an extension of Mawhin’s continuation theorem, a second order pp-Laplacian neutral functional differential system as follows View the MathML sourceddtϕp[(x(t)−Cx(t−τ))′]=f(t,x(t),x(t−μ(t)),x′(t)) Turn MathJax on is studied. Some new results on the existence of periodic solutions is obtained. The result is related to the deviating arguments ττ and μμ. Meanwhile, the approaches to estimate a priori bounds of periodic solutions are different from the corresponding ones of the known literature.