{"title":"Asymptotics of solution of a boundary value problem for a singularly perturbed quasilinear one-characteristic equation","authors":"Mahir M. Sabzaliev · Mahbuba E. Kerimova","doi":"10.29228/proc.74","DOIUrl":null,"url":null,"abstract":". A complete asymptotics of the solution of a boundary value problem on a rectangle is constructed for one-characteristic nonclassic type differential equation of third order, degenerating into nonlinear hyperbolic equation. The remainder term is estimated.","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Institute of Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29228/proc.74","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
. A complete asymptotics of the solution of a boundary value problem on a rectangle is constructed for one-characteristic nonclassic type differential equation of third order, degenerating into nonlinear hyperbolic equation. The remainder term is estimated.
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Proceedings of the Institute of Mathematics and Mechanics (PIMM), National Academy of Sciences of Azerbaijan is an open access journal that publishes original, high quality research papers in all fields of mathematics. A special attention is paid to the following fields: real and complex analysis, harmonic analysis, functional analysis, approximation theory, differential equations, calculus of variations and optimal control, differential geometry, algebra, number theory, probability theory and mathematical statistics, mathematical physics. PIMM welcomes papers that establish interesting and important new results or solve significant problems. All papers are refereed for correctness and suitability for publication. The journal is published in both print and online versions.
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