Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911955996901376 |
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| author | Carretero, Luis Valero, José |
| author_facet | Carretero, Luis Valero, José |
| contents | We study a one-dimensional ordinary differential equation modelling optical conveyor belts, showing in particular cases of physical interest that periodic solutions exist. Moreover, under rather general assumptions it is proved that the set of periodic solutions is bounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts Carretero, Luis Valero, José Classical Analysis and ODEs 78A10, 34C25, 34B15 We study a one-dimensional ordinary differential equation modelling optical conveyor belts, showing in particular cases of physical interest that periodic solutions exist. Moreover, under rather general assumptions it is proved that the set of periodic solutions is bounded. |
| title | Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts |
| topic | Classical Analysis and ODEs 78A10, 34C25, 34B15 |
| url | https://arxiv.org/abs/2407.10843 |