Artículo

Hopf bifurcation and stability analysis for a delayed equation with φ-laplacian

Amster, Pablo GustavoIcon ; Kuna, Mariel PaulaIcon ; Dallos Santos, Dionicio PastorIcon
Fecha de publicación: 09/2024
Editorial: Juliusz Schauder Ctr Nonlinear Studies
Revista: Topological Methods In Nonlinear Analysis
ISSN: 1230-3429
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

A formal framework for the analysis of Hopf bifurcations for a kind of delayed equation with ϕ-Laplacian and with a discrete time delay is presented, thus generalizing known results for the sunflower equation given by Somolinos in 1978. Also, under appropriate assumptions we prove the gradient-like behavior of the equation which, in turn, implies the non-existence of nonconstant periodic solutions. Our conditions improve previous results known in the literature for the standard case ϕ(x) = x.
Palabras clave: FUNCTIONAL-DELAY EQUATIONS , LYAPUNOV-KRASOVSKII FUNCTIONAL , STABILITY , HOPF BIFURCATION , PERIODIC SOLUTIONS
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/260640
URL: https://apcz.umk.pl/TMNA/article/view/55345
DOI: http://dx.doi.org/10.12775/TMNA.2024.015
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Amster, Pablo Gustavo; Kuna, Mariel Paula; Dallos Santos, Dionicio Pastor; Hopf bifurcation and stability analysis for a delayed equation with φ-laplacian; Juliusz Schauder Ctr Nonlinear Studies; Topological Methods In Nonlinear Analysis; 64; 2; 9-2024; 545-559
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