{"title":"一类非线性离散Hammerstein-Volterra方程的单参数正解族","authors":"Ermine Oganesovna Azizian, K. Khachatryan","doi":"10.13108/2016-8-1-13","DOIUrl":null,"url":null,"abstract":". In the present work we study a class of of nonlinear discrete Hammerstein-Volterra equations in a post-critical case. We prove the existence of a one-parametric family of positive solutions in space 𝑙 1 . We describe the set of parameters and establish the monotonic dependence of each solution both in a parameter and a corresponding index.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"3 1","pages":"13-19"},"PeriodicalIF":0.5000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein-Volterra equations\",\"authors\":\"Ermine Oganesovna Azizian, K. Khachatryan\",\"doi\":\"10.13108/2016-8-1-13\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In the present work we study a class of of nonlinear discrete Hammerstein-Volterra equations in a post-critical case. We prove the existence of a one-parametric family of positive solutions in space 𝑙 1 . We describe the set of parameters and establish the monotonic dependence of each solution both in a parameter and a corresponding index.\",\"PeriodicalId\":43644,\"journal\":{\"name\":\"Ufa Mathematical Journal\",\"volume\":\"3 1\",\"pages\":\"13-19\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ufa Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.13108/2016-8-1-13\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ufa Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13108/2016-8-1-13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein-Volterra equations
. In the present work we study a class of of nonlinear discrete Hammerstein-Volterra equations in a post-critical case. We prove the existence of a one-parametric family of positive solutions in space 𝑙 1 . We describe the set of parameters and establish the monotonic dependence of each solution both in a parameter and a corresponding index.
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