摘要:In this paper, we consider the following p-Laplacian Liénard type differential equation with singularity and deviating argument: ( φ p ( x ′ ( t ) ) ) ′ + f ( x ( t ) ) x ′ ( t ) + g ( t , x ( t − σ ) ) = e ( t ) . $$ \bigl(\varphi_{p}\bigl(x'(t)\bigr)\bigr)'+f \bigl(x(t)\bigr)x'(t)+g\bigl(t,x(t-\sigma)\bigr)=e(t). $$ By applications of coincidence degree theory and some analysis techniques, sufficient conditions for the existence of positive periodic solutions are established.