@article{Repetylo_Hlynsky_2021, title={REGULARIZATION OF THE BOUNDARY–VALUE PROBLEM WITH MIXED CONDITIONS FOR A SECOND ORDER HYPERBOLIC EQUATION}, url={https://pvntsh.nung.edu.ua/index.php/number/article/view/1705}, DOI={10.31471/2304-7399-2021-16(60)-11-19}, abstractNote={<p><em>A boundary value problem with data on the whole boundary of the domain for a linear homogeneous second-order hyperbolic equation with coefficients variable in spatial coordinates is considered. The issues of correct solvability and construction of a solution in the form of a series <br />according to the system of orthogonal functions are studied. For the case when the right-hand sides of the boundary conditions are given with an error, a regularizing algorithm for the finding the approximate solution of the considered problem is constructed.</em></p>}, number={16(60)}, journal={PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number}, author={Repetylo, S. M. and Hlynsky, Ya. M.}, year={2021}, month={Oct.}, pages={11–19} }