Forced oscillations for generalized $Φ$-Laplacian equations with Carathéodory perturbations
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| Format: | Preprint |
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2025
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| _version_ | 1866910905460064256 |
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| author | Calamai, Alessandro Pera, Maria Patrizia Spadini, Marco |
| author_facet | Calamai, Alessandro Pera, Maria Patrizia Spadini, Marco |
| contents | 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 $Φ$-Laplacian type term. We work in the Carathéodory 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Forced oscillations for generalized $Φ$-Laplacian equations with Carathéodory perturbations Calamai, Alessandro Pera, Maria Patrizia Spadini, Marco Classical Analysis and ODEs 34C25, 34A09, 34B08, 47H11 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 $Φ$-Laplacian type term. We work in the Carathéodory 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. |
| title | Forced oscillations for generalized $Φ$-Laplacian equations with Carathéodory perturbations |
| topic | Classical Analysis and ODEs 34C25, 34A09, 34B08, 47H11 |
| url | https://arxiv.org/abs/2504.05165 |