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On solvability of some nonlocal boundary value problems for biharmonic equation

In: Mathematica Slovaca, vol. 70, no. 2
Valery Karachik - Batirkhan Turmetov

Details:

Year, pages: 2020, 329 - 342
Keywords:
biharmonic equation, nonlocal problem, involution, Neumann type problem, uniqueness, existence
About article:
In this paper a new class of well-posed boundary value problems for the biharmonic equation is studied. The considered problems are nonlocal boundary value problems of Bitsadze-\linebreak -Samarskii type. These problems are solved by reducing them to Dirichlet and Neumann type problems. Theorems on existence and uniqueness of the solution are proved and exact solvability conditions of the considered problems are found. In addition, the integral representations of solutions are obtained.
How to cite:
ISO 690:
Karachik, V., Turmetov, B. 2020. On solvability of some nonlocal boundary value problems for biharmonic equation. In Mathematica Slovaca, vol. 70, no.2, pp. 329-342. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0355

APA:
Karachik, V., Turmetov, B. (2020). On solvability of some nonlocal boundary value problems for biharmonic equation. Mathematica Slovaca, 70(2), 329-342. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0355
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 10. 3. 2020