{"title":"hammerstein型广义非线性积分方程","authors":"O. O. Bulatsyk, Y. Topolyuk, N. N. Voitovich","doi":"10.1109/DIPED.2009.5306949","DOIUrl":null,"url":null,"abstract":"A nonlinear integral equation generalizing that arisen in the antenna synthesis problems is investigated. The semi-analytical solutions are found. They parameters are determined from an equation system consisting of a linearized integral equation and finite-dimensional system of transcendental ones. Branching of the solution is investigated. A particular case related to Fourier transform is numerically analyzed.","PeriodicalId":404875,"journal":{"name":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Generalized nonlinear integral equation of hammerstein type\",\"authors\":\"O. O. Bulatsyk, Y. Topolyuk, N. N. Voitovich\",\"doi\":\"10.1109/DIPED.2009.5306949\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nonlinear integral equation generalizing that arisen in the antenna synthesis problems is investigated. The semi-analytical solutions are found. They parameters are determined from an equation system consisting of a linearized integral equation and finite-dimensional system of transcendental ones. Branching of the solution is investigated. A particular case related to Fourier transform is numerically analyzed.\",\"PeriodicalId\":404875,\"journal\":{\"name\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2009.5306949\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2009.5306949","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized nonlinear integral equation of hammerstein type
A nonlinear integral equation generalizing that arisen in the antenna synthesis problems is investigated. The semi-analytical solutions are found. They parameters are determined from an equation system consisting of a linearized integral equation and finite-dimensional system of transcendental ones. Branching of the solution is investigated. A particular case related to Fourier transform is numerically analyzed.
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