Nonresonance for one-dimensional p-Laplacian with regular restoring ✩

In this paper, the existence of periodic solutions of the equation (φp(x )) +f (t,x) = 0 is proved, where f : [0,T ]×R→R has some nonlinear growth near x =±∞, and the nonresonance condition (SP ), which can be explained using the periodic eigenvalues concerning p-Laplacian, is satisfied.  2003 Elsevier Inc. All rights reserved.