Stability, existence and non-existence of $ T $-periodic solutions of nonlinear delayed differential equations with $ \varphi $-Laplacian-Reference-Cited by-同舟云学术

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

Published:2022 Issue:8 Volume:21 Page:2723
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Amster Pablo¹,Kuna Mariel Paula¹,Santos Dionicio²

Affiliation:

1. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & IMAS-CONICET, Ciudad Universitaria. Pabellón I (1428), Buenos Aires, Argentina

2. Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional del Centro de la Provincia de Buenos Aires, Del Pinto 399 (7000), Tandil, Buenos Aires, Argentina

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>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

Reference15 articles.

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5. J. A. Cid.On the existence of periodic oscillations for pendulum-type equations, Adv. Nonlinear Anal., 10 (2021), 121-130.

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