35 citations · 39 across the 19 of their papers we have counts for
5 papers · 1 filter
Linear Time-Varying Dynamic-Algebraic Equations of Index on Time Scales
Svetlin Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index on arbitrary time scales. We propose a procedure for t…
Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales
Svetlin G. Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index one on arbitrary time scales. We propose a procedure for the de…
Rotating rod and ball
Sergey Kryzhevich, Alexander Plakhov
We consider a mechanical system consisting of an infinite rod (a straight line) and a ball (a massless point) on the plane. The rod rotates uniformly around one of its points. The…
Uniform solvability for families of linear systems on time scales
Sergey Kryzhevich
We give explicit criteria of solvability for families of linear systems on time scales. We introduce a new method of embedding a time scale into a non-autonomous system of ODEs. Th…
Constructive controllability for incompressible vector fields
Sergey Kryzhevich, Eugene Stepanov
We give a constructive proof of a global controllability result for an autonomous system of ODEs guided by bounded locally Lipschitz and divergence free (i.e.\ incompressible) vect…