Solvability of nonlocal inverse boundary-value problem for a second-order parabolic equation with integral conditions

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dc.contributor.authorAzizbayov, Elvin
dc.contributor.authorMehraliyev, Yashar
dc.date.accessioned2022-05-02T15:38:26Z
dc.date.available2022-05-02T15:38:26Z
dc.date.issued2017-05-08
dc.description.abstractThis article studies a nonlocal inverse boundary-value problem for a second-order parabolic equation on the rectangular domain. First, we introduce a definition of a classical solution, and then the original problem is reduced to an equivalent problem. Existence and uniqueness of the solution of the equivalent problem is proved using a contraction mapping. Finally, using the equivalency, the existence and uniqueness of classical solution is obtained.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAzizbayov, E., & Mehraliyev, Y. (2017). Solvability of nonlocal inverse boundary-value problem for a second-order parabolic equation with integral conditions. <i>Electronic Journal of Differential Equations, 2017</i>(125), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15727
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSecond order parabolic equation
dc.subjectFinite domain
dc.subjectNonlocal integral conditions
dc.subjectInverse value problem
dc.subjectClassical solution
dc.titleSolvability of nonlocal inverse boundary-value problem for a second-order parabolic equation with integral conditions
dc.typeArticle

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