{"title":"Differentiation Functors and Category Interpretation of Optimality Conditions","authors":"S. Serovajsky, D. Diarova","doi":"10.46300/91019.2022.9.5","DOIUrl":null,"url":null,"abstract":"Operator derivatives are determined as functors. Necessary optimality conditions with category interpretation are proved for abstract optimization control problems. Finite dimensional extremum problems and an optimization control problem for nonlinear parabolic equation with state constraints are considered as examples.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"37 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46300/91019.2022.9.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Operator derivatives are determined as functors. Necessary optimality conditions with category interpretation are proved for abstract optimization control problems. Finite dimensional extremum problems and an optimization control problem for nonlinear parabolic equation with state constraints are considered as examples.
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