{"title":"非线性代数系统解的唯一性","authors":"Panagiotis N. Koumantos","doi":"10.57016/mv-cpyj7658","DOIUrl":null,"url":null,"abstract":"In this article we give a sufficient condition for a nonlinear algebraic system of some classes of hypersurfaces to intersect in a unique point and we express the corresponding unique solution in exact form, as well as for the corresponding nonlinear functional system of equations. We conclude extending our results for the functional case in a Banach space of Bochner measurable functions.","PeriodicalId":54181,"journal":{"name":"Matematicki Vesnik","volume":"18 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"UNIQUENESS OF THE SOLUTION OF A NONLINEAR ALGEBRAIC SYSTEM\",\"authors\":\"Panagiotis N. Koumantos\",\"doi\":\"10.57016/mv-cpyj7658\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we give a sufficient condition for a nonlinear algebraic system of some classes of hypersurfaces to intersect in a unique point and we express the corresponding unique solution in exact form, as well as for the corresponding nonlinear functional system of equations. We conclude extending our results for the functional case in a Banach space of Bochner measurable functions.\",\"PeriodicalId\":54181,\"journal\":{\"name\":\"Matematicki Vesnik\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Matematicki Vesnik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.57016/mv-cpyj7658\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Matematicki Vesnik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.57016/mv-cpyj7658","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
UNIQUENESS OF THE SOLUTION OF A NONLINEAR ALGEBRAIC SYSTEM
In this article we give a sufficient condition for a nonlinear algebraic system of some classes of hypersurfaces to intersect in a unique point and we express the corresponding unique solution in exact form, as well as for the corresponding nonlinear functional system of equations. We conclude extending our results for the functional case in a Banach space of Bochner measurable functions.
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