@article{Unguryan_2021, title={Nonlocal problem with impulse action for parabolic equations of vector order}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6521}, DOI={10.37863/umzh.v73i11.6521}, abstractNote={<p>UDC 517.956.4</p> <p>For $\{\overrightarrow{p};\overrightarrow{h}\}$-parabolic equations with continuous coefficients, the problem of finding classical solutions that satisfy a modified initial condition with generalized data such as the Gelfand and Shilov distributions is considered.<br>This condition linearly combines the values of the solution at the initial and an intermediate points in time.<br>The conditions for the correct solvability of this problem are clarified and the formula for its solution is found.<br>With the help of the obtained results, the corresponding problem with impulse action is solved.</p&gt;}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Unguryan, G. M.}, year={2021}, month={Nov.}, pages={1532 - 1540} }