This paper demonstrates atypical bifurcation results in periodic solutions of ϕ-Laplacian systems, highlighting applications of topological degree theory.
In this paper, we study the T -periodic solutions of the parameter-dependent ϕ -Laplacian equation {equation*} (φ(x'))'=F(λ,t,x,x'). {equation*} 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. Dedicated to Professor Maria Patrizia Pera on the occasion of her 70th birthday
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Benevieri et al. (2025) studied this question.
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