@article{Il'kiv_Volyans'ka_2014, title={Non-local boundary value problem for partial differential equation in a complex domain}, volume={6}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1333}, DOI={10.15330/cmp.6.1.44-58}, abstractNote={<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>}, number={1}, journal={Carpathian Mathematical Publications}, author={Il'kiv, V.S. and Volyans'ka, I.I.}, year={2014}, month={Jul.}, pages={44–58} }