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arXiv · 2504.05165

Forced oscillations for generalized $\Phi$-Laplacian equations with Carath\'eodory perturbations

Alessandro Calamai·Maria Patrizia Pera·Marco Spadini
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Abstract

Using topological methods, we study the structure of the set of forced oscillations of a class of parametric, implicit ordinary differential equations with a generalized $\Phi$-Laplacian type term. We work in the Carath\'eodory setting. Under suitable assumptions, involving merely the Brouwer degree in Euclidean spaces, we obtain global bifurcation results. In some illustrative examples we provide a visual representation of the bifurcating set.

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Alessandro Calamai, Maria Patrizia Pera, Marco Spadini. 2025-04-07. Forced oscillations for generalized $\Phi$-Laplacian equations with Carath\'eodory perturbations. https://arxiv.org/abs/2504.05165

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