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In this paper, we consider a kind of neutral Rayleigh equation with singularity, $$bigl(x(t)-cx(t-delta)bigr)u0027u0027+f bigl(t,xu0027(t)bigr)+gbigl(t,x(t)bigr)=e(t), $$where g has a singularity at (x=0). By applications of coincidence degree theory, we find that the existence of positive periodic solution for this equation.

Study on a kind of neutral Rayleigh equation with singularity