Publication:
On the second boundary value problem for the equation of heat conduction in an unbounded plane angle

dc.contributor.coauthorDzhenaliyev, M. T.
dc.contributor.coauthorKosmakova, M. T.
dc.contributor.coauthorRamazanov, M. I.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKalantarov, Varga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:13:29Z
dc.date.issued2014
dc.description.abstractIn the article, the second homogeneous boundary value problem is considered in an infinite angular domain. Solution of the problem is reduced to solving the singular Volterra integral equations of the second kind with kernel whose norm is equal to unity. By the method of Carleman-Vekua, solving the integral equation is reduced to solving the inhomogeneous equation of Abel. The theorem on the existence of a non-trivial solution of the second homogeneous boundary value problem in a non-cylindrical domain is proved. The solution of the given problem is obtained in an explicit form.
dc.description.indexedbyWOS
dc.description.issue4
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume76
dc.identifier.issn2518-7929
dc.identifier.quartileQ4
dc.identifier.urihttps://hdl.handle.net/20.500.14288/9981
dc.identifier.wos439502100007
dc.keywordsSingular volterra integral equation
dc.keywordsAbel equation
dc.keywordsNon-cylindrical domain
dc.keywordsNon-trivial solution
dc.language.isoeng
dc.publisherKaraganda State Univ
dc.relation.ispartofBulletin of The Karaganda University-Mathematics
dc.subjectMathematics
dc.titleOn the second boundary value problem for the equation of heat conduction in an unbounded plane angle
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorKalantarov, Varga
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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