{"title":"On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary","authors":"A. K. Urinov, M. S. Azizov","doi":"10.1134/S1990478923020199","DOIUrl":null,"url":null,"abstract":"<p> An initial–boundary value problem is posed in a rectangle for a degenerate partial\ndifferential equation of high even order with a Bessel operator. The existence, uniqueness, and\nstability of a solution of the problem under study are proved.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"414 - 426"},"PeriodicalIF":0.5800,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478923020199","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
An initial–boundary value problem is posed in a rectangle for a degenerate partial
differential equation of high even order with a Bessel operator. The existence, uniqueness, and
stability of a solution of the problem under study are proved.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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