Existence and uniqueness of periodic solutions for a kind of Liénard type \(p\)-Laplacian equation (Q939435)

The author proves the existence and uniqueness of a periodic solution for an ordinary differential equation involving a differential operator of p-Laplacian type. The assumptions made imply non-resonance with respect to the ``spectrum'' of the differential operator, in the sense that the nonlinearity stays below the first eigenvalue. The uniqueness is attained assuming the nonlinearity to be strictly decreasing.