Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 177, pp. 1-8.

Title: Lienard type p-Laplacian neutral Rayleigh
       equation with a deviating argument

Authors: Aomar Anane         (Univ. Mohamed I, Oujda, Maroc)
         Omar Chakrone       (Univ. Mohamed I, Oujda, Maroc)
	 Loubna Moutaouekkil (Univ. Mohamed I, Oujda, Maroc)

Abstract:
 Based on Manasevich-Mawhin continuation theorem, we prove
 the existence of  periodic solutions for Lienard type
 $p$-Laplacian neutral Rayleigh equations with a deviating
 argument,
 $$
 (\phi_p(x(t)-c x(t-\sigma))')'+f(x(t))x'(t)+
 g(t,x(t-\tau(t)))=e(t).
 $$
 An example is provided to illustrate our results.

Submitted September 15, 2010. Published December 22, 2010.
Math Subject Classifications: 34C25, 34B15
Key Words: Periodic solution; neutral Rayleigh equation;
           Lienard equation;  Deviating argument; p-Laplacian;
           Manasevich-Mawhin continuation.