{"title":"光学传送带建模标量微分方程周期解的存在性","authors":"Luis Carretero, José Valero","doi":"arxiv-2407.10843","DOIUrl":null,"url":null,"abstract":"We study a one-dimensional ordinary differential equation modelling optical\nconveyor belts, showing in particular cases of physical interest that periodic\nsolutions exist. Moreover, under rather general assumptions it is proved that\nthe set of periodic solutions is bounded.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts\",\"authors\":\"Luis Carretero, José Valero\",\"doi\":\"arxiv-2407.10843\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a one-dimensional ordinary differential equation modelling optical\\nconveyor belts, showing in particular cases of physical interest that periodic\\nsolutions exist. Moreover, under rather general assumptions it is proved that\\nthe set of periodic solutions is bounded.\",\"PeriodicalId\":501145,\"journal\":{\"name\":\"arXiv - MATH - Classical Analysis and ODEs\",\"volume\":\"64 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.10843\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.10843","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts
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.
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