Existence and uniqueness of positive periodic solution for \(\phi\)-Laplacian Liénard equation (Q2263521)

The \(\phi\)-Laplacian Liénard equation \[ \big(\phi(x'(t))\big)' + f\big(t,x(t)\big) x'(t) + g\big(t,x(t)\big) = e(t) \] is studied. Sufficient conditions for the existence and uniqueness of positive periodic solutions are established by an application of the Manásevich-Mawhin continuation theorem.