{"title":"修正相位问题非线性方程的实消失解","authors":"I. V. Tupychak, N. N. Voitovich","doi":"10.1109/DIPED.2006.314316","DOIUrl":null,"url":null,"abstract":"A nonlinear integral equation arising in the so-called modified phase problem is considered when the given function is modulus of a vanishing function. The real vanishing solutions to this equation are investigated. Solutions having one and two vanishing points are found numerically and the results are analyzed for two concrete examples","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Real Vanishing Solutions to Nonlinear Equation Related to Modified Phase Problem\",\"authors\":\"I. V. Tupychak, N. N. Voitovich\",\"doi\":\"10.1109/DIPED.2006.314316\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nonlinear integral equation arising in the so-called modified phase problem is considered when the given function is modulus of a vanishing function. The real vanishing solutions to this equation are investigated. Solutions having one and two vanishing points are found numerically and the results are analyzed for two concrete examples\",\"PeriodicalId\":183082,\"journal\":{\"name\":\"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2006.314316\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2006.314316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Real Vanishing Solutions to Nonlinear Equation Related to Modified Phase Problem
A nonlinear integral equation arising in the so-called modified phase problem is considered when the given function is modulus of a vanishing function. The real vanishing solutions to this equation are investigated. Solutions having one and two vanishing points are found numerically and the results are analyzed for two concrete examples