{"title":"控制问题的上下解法及在骨髓移植模型中的应用","authors":"L. Parajdi, Radu Precup, Ioan Ştefan Haplea","doi":"10.34768/amcs-2023-0029","DOIUrl":null,"url":null,"abstract":"Abstract A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is illustrated on a control problem for the Lotka–Volterra model with seasonal harvesting and applied to a control problem of cell evolution after bone marrow transplantation.","PeriodicalId":502322,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"60 1","pages":"409 - 418"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Method of Lower and Upper Solutions for Control Problems and Application to a Model of Bone Marrow Transplantation\",\"authors\":\"L. Parajdi, Radu Precup, Ioan Ştefan Haplea\",\"doi\":\"10.34768/amcs-2023-0029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is illustrated on a control problem for the Lotka–Volterra model with seasonal harvesting and applied to a control problem of cell evolution after bone marrow transplantation.\",\"PeriodicalId\":502322,\"journal\":{\"name\":\"International Journal of Applied Mathematics and Computer Science\",\"volume\":\"60 1\",\"pages\":\"409 - 418\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Applied Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.34768/amcs-2023-0029\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.34768/amcs-2023-0029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Method of Lower and Upper Solutions for Control Problems and Application to a Model of Bone Marrow Transplantation
Abstract A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is illustrated on a control problem for the Lotka–Volterra model with seasonal harvesting and applied to a control problem of cell evolution after bone marrow transplantation.
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