Electron. J. Diff. Equ., Vol. 2012 (2012), No. 148, pp. 1-12.

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

Aomar Anane, Omar Chakrone, Loubna Moutaouekkil

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

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Aomar Anane
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: anane@sciences.univ-oujda.ac.ma
Omar Chakrone
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: chakrone@yahoo.fr
Loubna Moutaouekkil
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: loubna_anits@yahoo.fr

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