Speaker
Vyacheslav Boyko
(Institute of Mathematics of NAS of Ukraine)
Description
We review our recent results on transformation properties of normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables under several appropriate gauges of the arbitrary elements parameterizing these systems. We also present principal properties of Lie symmetries of the systems under consideration and outline ways for completely classifying these symmetries.
- Boyko V.M., Lokaziuk O.V. and Popovych R.O., Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations, J. Math. Anal. Appl. 539 (2024), 128543, 51 pp., arXiv:2105.05139.
Primary authors
Vyacheslav Boyko
(Institute of Mathematics of NAS of Ukraine)
Oleksandra Lokaziuk
(Institute of Mathematics of NAS of Ukraine & Borys Grinchenko Kyiv Metropolitan University)
Roman Popovych
(Silesian University in Opava & Institute of Mathematics of NAS of Ukraine)
