{"title":"退化为抛物型方程的单特征微分方程无穷半带边值问题解的渐近性","authors":"M. Sabzaliev, Mahbuba E. Kerimova","doi":"10.12988/nade.2016.612","DOIUrl":null,"url":null,"abstract":"In an infinite semi-strip we consider a boundary value problem for a third order nonclassical type equation degenerating into a parabolic equation. The complete expansion of the solution of the problem under consideration in small parameter was constructed and the remainder term was estimated.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"300 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Asymptotics of the solution of a boundary value problem in an infinite semi-strip for one-characteristic differential equation degenerating into a parabolic equation\",\"authors\":\"M. Sabzaliev, Mahbuba E. Kerimova\",\"doi\":\"10.12988/nade.2016.612\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In an infinite semi-strip we consider a boundary value problem for a third order nonclassical type equation degenerating into a parabolic equation. The complete expansion of the solution of the problem under consideration in small parameter was constructed and the remainder term was estimated.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"300 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/nade.2016.612\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/nade.2016.612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Asymptotics of the solution of a boundary value problem in an infinite semi-strip for one-characteristic differential equation degenerating into a parabolic equation
In an infinite semi-strip we consider a boundary value problem for a third order nonclassical type equation degenerating into a parabolic equation. The complete expansion of the solution of the problem under consideration in small parameter was constructed and the remainder term was estimated.