{"title":"The initial value problem for the quasi-linear partial integro-differential equation of higher order with a degenerate kernel","authors":"T. Yuldashev","doi":"10.20537/2226-3594-2018-52-09","DOIUrl":null,"url":null,"abstract":"It is considered the questions of one value solvability of the nonlinear Volterra integral equations with degenerate kernels. The method of degenerate kernel is developed to the case of Volterra integral equations. It is used the method of successive approximations combined it with the method of compressing maps.","PeriodicalId":42053,"journal":{"name":"Izvestiya Instituta Matematiki i Informatiki-Udmurtskogo Gosudarstvennogo Universiteta","volume":"44 1-10","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya Instituta Matematiki i Informatiki-Udmurtskogo Gosudarstvennogo Universiteta","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20537/2226-3594-2018-52-09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
It is considered the questions of one value solvability of the nonlinear Volterra integral equations with degenerate kernels. The method of degenerate kernel is developed to the case of Volterra integral equations. It is used the method of successive approximations combined it with the method of compressing maps.
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