Stability, existence and non-existence of $ T $-periodic solutions of nonlinear delayed differential equations with $ \varphi $-Laplacian

Abstract

<p style='text-indent:20px;'>Using a Lyapunov-Krasovskii functional, new results concerning the global stability, boundedness of solutions, existence and non-existence of <inline-formula><tex-math id="M3">\begin{document}$ T $\end{document}</tex-math></inline-formula>-periodic solutions for a kind of delayed equation for a <inline-formula><tex-math id="M4">\begin{document}$ \varphi $\end{document}</tex-math></inline-formula>-Laplacian operator are obtained. An application is given for the well known sunflower equation.</p>