TY - JOUR AU - S. P. Pafyk AU - V. P. Yakovets PY - 2013/02/25 Y2 - 2024/03/28 TI - On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 65 IS - 2 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2419 AB - For a system of linear differential equations of order $p$ with identically degenerate coefficient matrix of the leading derivatives, we establish conditions under which it has a general solution of the Cauchy type. The structure of this solution is determined. Conditions for the existence and uniqueness of a solution of the corresponding initial-value problem are also found. ER -