We revisit the results on admissible transformations between normal linear systems of
second-order ordinary differential equations with an arbitrary number of dependent …

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 …

We give a complete group classification of the general case of linear systems of two second-
order ordinary differential equations excluding the case of systems which are studied in the …

We give a complete group classification of the general case of linear systems of two second‐
order ordinary differential equations. The algebraic approach is used to solve the group …

Starting from the study of the symmetries of systems of 4 second-order linear ODEs with
constant real coefficients, we determine the dimension and generators of the symmetry …

The completeness of the group classification of systems of two linear second-order ordinary
differential equations with constant coefficients is delineated in the paper. The new cases …

We complete the analysis of the symmetry algebra L for systems of n second-order linear
ODEs with constant real coefficients, by studying the case of coefficient matrices having a …

Here, we give a complete group classification of the general case of linear systems of three
second‐order ordinary differential equations excluding the case of systems which are …

Admissible point transformations of classes of rth order linear ordinary differential equations
(in particular, the whole class of such equations and its subclasses of equations in the …

The present paper corrects the way of using Jordan canonical forms for studying the
symmetry structures of systems of linear second-order ordinary differential equations with …