Periodic solutions for third order p-Laplacian equation with a deviating argument

By means of Mawhinʹs continuation theorem, we study a third-order p-Laplacian differential equation ( ϕ p ( u ″ ( t ) ) ) ′ + f ( t , u ′ ( t ) , u ″ ( t ) ) + g ( t , u ( t - τ ( t ) ) ) = e ( t ) . Under various assumptions, the existence of periodic solutions is obtained. Moreover, some examples are given to illustrate the results.