Calamai, Alessandro and Pera, Maria Patrizia and Spadini, Marco (2023) Periodic perturbations of reducible scalar second order functional differential equations. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (18). pp. 1-23. ISSN 1417-3875
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Abstract
Using a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing. More precisely, we consider a delay-type functional dependence involving a gamma probability distribution and, using a linear chain trick, we formulate a first order system of ODEs whose T-periodic solutions correspond to those of the functional equation.
| Item Type: | Article |
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| Uncontrolled Keywords: | functional differential equations, branches of periodic solutions, linear chain trick, Brouwer degree |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 28 Mar 2024 13:22 |
| URI: | https://real.mtak.hu/id/eprint/185153 |
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