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