TY - JOUR AU - V. A. Trotsenko AU - Yu. V. Trotsenko PY - 2021/10/17 Y2 - 2024/03/28 TI - Structure of integrals of equations of oscillations of a conical shell closed at a vertex JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 10 SE - Research articles DO - 10.37863/umzh.v73i10.6702 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6702 AB - We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest derivative and equations with a regular singular point, we establish the formal structure of regular integrals of the original equations. ER -