@article{Litovchenko_2019, title={Hyperbolic systems in Gelfand and Shilov spaces}, volume={71}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1520}, abstractNote={UDC 517.956.32, 517.955.2 <br> For systems hyperbolic in Shilov’s sense with time-dependent coefficients, the properties of the Green function are studied in the $S$-type spaces.
For systems of this kind in the indicated spaces, we establish the correct solvability of the Cauchy problem. It is shown that, for each $\beta>1,$ the space ${S_0^\beta}’$ of Gelfand and Shilov distributions is the class of well-posedness of this problem.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Litovchenko, V. A.}, year={2019}, month={Oct.}, pages={1360-1373} }