Atypical bifurcation for periodic solutions of ϕ-Laplacian systems

2024/06/01 by Pierluigi Benevieri, Benevieri, Pierluigi, Guglielmo Feltrin +1
Mathematics · Medicine · #34B15 #34C23 #34C25 #47H11 #47J05 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2406.00325

openalex publication_date 2024/06/01 · openalex created_date 2024/06/06 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the T-periodic solutions of the parameter-dependent ϕ-Laplacian equation (ϕ(x'))'=F(λ,t,x,x'). Based on the topological degree theory, we present some atypical bifurcation results in the sense of Prodi-Ambrosetti, i.e., bifurcation of T-periodic solutions from λ=0. Finally, we propose some applications to Liénard-type equations.

Related

• Periodic solutions to parameter-dependent equations with a ϕ-Laplacian type operator
• Bifurcations from nondegenerate families of periodic solutions
• Periodic solutions of a class of second-order non-autonomous differential equations
• Periodic Perturbations of Non-Conservative Second Order Differential Equations
• Periodic bifurcation from families of periodic solutions for semilinear differential equations with Lipschitzian perturbations in Banach spaces