{"title":"含不连续函数集上若干条件良定问题解的稳定性界","authors":"S.L. Logunov","doi":"10.1016/0041-5553(90)90102-X","DOIUrl":null,"url":null,"abstract":"<div><p>Stability bounds for the solutions of conditionally well-posed problems for the case when the variation and the maximum absolute value of the solutions are bounded by known constants are derived. Differentiation problems, Volterra and Abel integral equations, and convolution equations are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 1-9"},"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)90102-X","citationCount":"0","resultStr":"{\"title\":\"Stability bounds for solutions of some conditionally well-posed problems on a set containing discontinuous functions\",\"authors\":\"S.L. Logunov\",\"doi\":\"10.1016/0041-5553(90)90102-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Stability bounds for the solutions of conditionally well-posed problems for the case when the variation and the maximum absolute value of the solutions are bounded by known constants are derived. Differentiation problems, Volterra and Abel integral equations, and convolution equations are considered.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 6\",\"pages\":\"Pages 1-9\"},\"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)90102-X\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090102X\",\"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/004155539090102X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability bounds for solutions of some conditionally well-posed problems on a set containing discontinuous functions
Stability bounds for the solutions of conditionally well-posed problems for the case when the variation and the maximum absolute value of the solutions are bounded by known constants are derived. Differentiation problems, Volterra and Abel integral equations, and convolution equations are considered.
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