Work

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

Year: 2024

Type: article

Abstract: 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 $\varphi(x)=x$.

Source: Topological Methods in Nonlinear Analysis

DOI: 10.12775/tmna.2024.015

Authors: Pablo Amster, Mariel P. Kuna, Dionicio Santos

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402782228

FWCI:

Cites:

Cited by:

Related to: 10