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On a Boundary Value Problem for the fourth-order partial differential equation with the non-local conditions

TitleOn a Boundary Value Problem for the fourth-order partial differential equation with the non-local conditions
AuthorsM. B. Mursalova1, T. M. Kasimov1
1Baku State University
AnnotationOne boundary-value problem is investigated for a fourth-order partial differential equation with an integral boundary condition. First, an original problem is reduced to the equivalent problem, the theorem on existence and uniqueness of solution is proved for the latter. Then, using these facts authors prove existence and uniqueness of the classical solution of the original problem.
Keywordsboundary value problem, differential equations, existence of solution, uniqueness of solution, classical solution
CitationMursalova M. B., Kasimov T. M. ''On a Boundary Value Problem for the fourth-order partial differential equation with the non-local conditions'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 180-189. Available at: http://conf.svmo.ru/files/2021/papers/article06.pdf. - Date of access: 30.06.2022.