Azizbayov, ElvinMehraliyev, Yashar2022-05-022022-05-022017-05-08Azizbayov, 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. 1-14.1072-6691https://hdl.handle.net/10877/15727This 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalSecond order parabolic equationFinite domainNonlocal integral conditionsInverse value problemClassical solutionArticle