{"title":"一类非线性积分方程","authors":"N.G. Ushakov","doi":"10.1016/0041-5553(90)90008-G","DOIUrl":null,"url":null,"abstract":"<div><p>The solution of implicit non-linear integral equations, of a type which occurs in scanning electron microscopy, is considered. The conditions for the solution to be unique are derived. Problems arising in the construction of iterative sequences converging to the solution are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 65-73"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90008-G","citationCount":"2","resultStr":"{\"title\":\"A class of non-linear integral equations\",\"authors\":\"N.G. Ushakov\",\"doi\":\"10.1016/0041-5553(90)90008-G\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The solution of implicit non-linear integral equations, of a type which occurs in scanning electron microscopy, is considered. The conditions for the solution to be unique are derived. Problems arising in the construction of iterative sequences converging to the solution are considered.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 1\",\"pages\":\"Pages 65-73\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90008-G\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090008G\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090008G","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The solution of implicit non-linear integral equations, of a type which occurs in scanning electron microscopy, is considered. The conditions for the solution to be unique are derived. Problems arising in the construction of iterative sequences converging to the solution are considered.
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