Periodic solutions for a Rayleigh type p-Laplacian equation with sign-variable coefficient of nonlinear term

It is significant that the growth degree with respect to the variable u in g1(u) is allowed to be greater than p-1 and the coefficient β(t) of g2(x(t-τ2(t,|x|∞))) can change sign in this paper, which could be achieved rarely in the previous literature.