The sufficient condition of the asymptotic stability of two-dimensional linear systems
A survey of investigations of linear differential equations from the point of view of transformations is described. These investigations started in the middle of the last century and continued till the present time. Essential step was done in the fifties by O. Borvka, who started global investigations of the second order equations.
The paper describes the general form of an ordinary differential equation of an order which allows a nontrivial global transformation consisting of the...
We show that each element in the semigroup of all non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of , which form a cone consisting of all upper (or lower) triangular intensity matrices.