A continuation theorem for periodic boundary value problems with oscillatory nonlinearities |
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| Authors: | Anna Capietto Jean Mawhin Fabio Zanolin |
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| Affiliation: | 1. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, I-10123, Torino, Italy
2. Institut de Mathématique Pure et Appl., Université Catholique de Louvain, Chemin du Cyclotron 2, B-1348, Louvain-la-Neuve, Belgium
3. Dipartimento di Matematica e Informatica, Università di Udine, Via Zanon 6, I-33100, Udine, Italy
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| Abstract: | We prove a continuation theorem for the solvability of the coincidence equationLx=Nx in normed spaces. Applications are given to the periodic boundary value problem for second order ordinary differential equations. Dealing, in particular, with the periodically forced Duffing equation
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