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Abstract: By means of Mawhin''s continuation theorem, we study a kind of fourth-order p-Laplacian neutral functional differential equation with a deviating argument in the form:Some sufficient criteria to guarantee the existence of periodic solutions are obtained. The significance of this paper is that the growth power imposed on the variable x in function g(t,x) is allowed to be greater than p−1. It is interesting that our results are not only dependent on the deviating argument but also dependent on the delay . [Copyright &y& Elsevier]

Abstract: By using a fixed point theorem of strict-set-contraction, some new criteria are established for the existence of positive periodic solutions of the following periodic neutral Lotka–Volterra system with state dependent delayswhere are ω-periodic functions and are ω-periodic functions with respect to their first arguments, respectively. [Copyright &y& Elsevier]