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math.CA2025
Continuation theorems for periodic systems and applications to problems with nonlinear time-dependent differential operators
Pierluigi Benevieri, Guglielmo Feltrin
In this paper we propose some continuation theorems for the periodic problem \begin{equation*} \begin{cases} \, x_{i}' = g_{i}(t,x_{i+1}), &i=1,\ldots,n-1, \\ \, x_{n}' = h(t,x_{1}…
math.CA2024
Atypical bifurcation for periodic solutions of -Laplacian systems
Pierluigi Benevieri, Guglielmo Feltrin
In this paper, we study the -periodic solutions of the parameter-dependent -Laplacian equation \begin{equation*} (ϕ(x'))'=F(λ,t,x,x'). \end{equation*} Based on the topologica…