Abstract
Using some recent extensions of upper and lower solutions techniques and continuation theorems to the periodic solutions of quasilinear equations of p-Laplacian type, we prove the existence of positive periodic solutions of equations of the form
(|xʹ|p-2xʹ)ʹ + f(x)xʹ + g(x) = h(t)
with p > 1, f arbitrary and g singular at 0. This extends results of Lazer and Solimini for the undamped ordinary differential case.
Published Online: 2016-03-10
Published in Print: 2002-08-01
© 2016 by Advanced Nonlinear Studies, Inc.