Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 148, pp. 1-12.

Title: Periodic solutions for p-Laplacian neutral functional 
       differential equations with multiple deviating arguments

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

Abstract:
 By means of Mawhin's continuation theorem, we prove the existence of
 periodic  solutions for a p-Laplacian neutral functional differential 
 equation with  multiple deviating arguments
 $$
 (\varphi_p(x'(t)-c(t)x'(t-r)))'
 = f(x(t))x'(t)+g(t,x(t),x(t-\tau_1(t)),
 \dots ,x(t-\tau_{m}(t)))+e(t).
 $$
 
Submitted May 17, 2012. Published August 29, 2012.
Math Subject Classifications: 34K15, 34C25
Key Words: Periodic solution; neutral differential equation; 
    deviating argument; p-Laplacian; Mawhin's continuation