We　consider　an　n-dimensional　p-Laplacian-like　neutral　functional　differential　equation　(NFDE)　in　the　form　d/d(t)　phi(p)[x＇(t)-c(t)x＇(t-tau)]　+　d/d(t)del　F(x(t-tau))　+　beta(t)del　G(x(t-delta(t)))　=　e(t),　where　c(t)　and　beta(t)　are　sign-changeable.　Using　Mawhin＇s　continuation　theorem,　we　establish　some　criteria　to　guarantee　the　existence　of　periodic　solutions　for　the　above　system,　which　generalize　and　improve　on　the　corresponding　results　in　related　literature.　(C)　2011　The　Franklin　Institute.　Published　by　Elsevier　Ltd.　All　rights　reserved.