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.
Forced oscillations for generalized $Φ$-Laplacian equations with Carathéodory perturbations / Alessandro Calamai; Maria Patrizia Pera; Marco Spadini. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 1793-6683. - STAMPA. - .:(In corso di stampa), pp. 0-0.
Forced oscillations for generalized $Φ$-Laplacian equations with Carathéodory perturbations
Maria Patrizia PeraMembro del Collaboration Group
;Marco SpadiniMembro del Collaboration Group
In corso di stampa
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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