TY - JOUR
AU - Il'kiv, V.S.
AU - Volyans'ka, I.I.
PY - 2014/07/12
Y2 - 2024/08/03
TI - Non-local boundary value problem for partial differential equation in a complex domain
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 6
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.6.1.44-58
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/1333
SP - 44-58
AB - <p>The paper is devoted to the investigation of a non-local boundary value problem for partial differential equations with the operator of the generalized differentiation $B=z\frac{\partial}{\partial z}$, which operate on functions of scalar complex variable $z$. The unity theorem and existence theorems of the solution of problem in the space $\mathbf{H}_{q}^n(\mathcal{D})$ are proved. Correctness after Hadamard of the problem is shown. It distinguishes her from an ill-conditioned after Hadamard problem with many spatial variables.</p>
ER -