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

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

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-au_1(t)), dots ,x(t-au_{m}(t)))+...

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Veröffentlicht in:Electronic journal of differential equations 2012-08, Vol.2012 (148), p.1-12
Hauptverfasser: Aomar Anane, Omar Chakrone, Loubna Moutaouekkil
Format: Artikel
Sprache:eng
Schlagworte:
deviating argument
Mawhin's continuation
neutral differential equation
p-Laplacian
Periodic solution
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Zusammenfassung: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 $$ (varphi_p(x'(t)-c(t)x'(t-r)))' = f(x(t))x'(t)+g(t,x(t),x(t-au_1(t)), dots ,x(t-au_{m}(t)))+e(t). $$
ISSN:1072-6691