On the solvability of the main boundary value problems for a nonlocal Poisson equation

Authors

VALERY KARACHIK
ABDIZHAHAN SARSENBI
BATIRKHAN TURMETOV

DOI

10.3906/mat-1901-71

Abstract

Solvability of the main boundary value problems for the nonlocal Poisson equation is studied. Existence and uniqueness theorems for the considered problems are obtained. The necessary and sufficient solvability conditions for all problems are given and integral representations for the solutions are constructed.

Keywords

Nonlocal equation, Poisson equation, existence and uniqueness, Green's function

First Page

1604

Last Page

1625

Recommended Citation

KARACHIK, VALERY; SARSENBI, ABDIZHAHAN; and TURMETOV, BATIRKHAN (2019) "On the solvability of the main boundary value problems for a nonlocal Poisson equation," Turkish Journal of Mathematics: Vol. 43: No. 3, Article 37. https://doi.org/10.3906/mat-1901-71
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/37