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

Object's details: Hopf bifurcation and stability analysis for a delayed equation with φ-Laplacian

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Provider:Akademicka Platforma Czasopism

Description

Title:
Hopf bifurcation and stability analysis for a delayed equation with φ-Laplacian
Creator:
Amster, Pablo;
Kuna, Mariel P.;
Santos, Dionicio
Description:
A formal framework for the analysis of Hopf bifurcations for a kind of delayed equation with $\varphi$-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 $\varphi(x)=x$.
Object availability:
free access
Rights:
Prawa autorskie (c) 2024 Pablo Amster, Mariel P. Kuna, Dionicio Santos;
https://creativecommons.org/licenses/by-nd/4.0
Date:
2024.09.21
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 64, No 2 (December 2024); 545 - 559;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/55345/39794 ;https://apcz.umk.pl/TMNA/article/view/55345/39795
Subject:
Functional-delay equations;
Lyapunov-Krasovskii functional;
stability;
Hopf bifurcation;
periodic solutions;
34N05, 34C25, 47H11
Identifier: https://apcz.umk.pl/TMNA/article/view/55345
Data provider:
Akademicka Platforma Czasopism

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