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Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations
Vyacheslav M. Boyko, Oleksandra V. Lokaziuk, Roman O. Popovych
We revisit the results on admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables u…
Parameter-dependent linear ordinary differential equations and topology of domains
Vyacheslav M. Boyko, Michael Kunzinger, Roman O. Popovych
The well-known solution theory for (systems of) linear ordinary differential equations undergoes significant changes when introducing an additional real parameter. Properties like…
Equivalence groupoids of classes of linear ordinary differential equations and their group classification
Vyacheslav M. Boyko, Roman O. Popovych, Nataliya M. Shapoval
Admissible point transformations of classes of th order linear ordinary differential equations (in particular, the whole class of such equations and its subclasses of equations…
Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
Vyacheslav M. Boyko, Roman O. Popovych, Nataliya M. Shapoval
Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields. The ex…