The first studies on the stability of steady motions were carried out by Routh~ 1.2~. Routh's
method is based on his fundamental theorem [Z], which was considerably supplemented by …

ON THE CONSTRUCTION OF THE LIAPUNOV FUNCTIONS FROM THE INTEGRALS OF THE
EQUATIONS FOR PERTURRED MOTION Page 1 ON THE CONSTRUCTION OF THE LIAPUNOV …

Abstract Liapunov ([1]. p. 370) posed the problem of the stability of motion with respect to a
part of the variables. Malkin [2] in his remarks on Liapunov's theorems stated (without proof) …

Introduction. Problems of natural science, engineering, and technology are complex and
interdisciplinary. However, in spite of obvious differences in these problems, very aften …

Study of the stability of motion with respect to a part of the variables [l] finds application in
various problems, particularly in those of the motion of systems with cyclic coordinates, of …

The fundamental work by AM Liapunov on the stability of motion was published in Russian
in 1892 and in French in 1907. Further Russian work began about twenty years later …

We give sufficient conditions for asymptotic stability relative to a part of the variables. We
investigate the question of the invertibility of certain proved and well-known theorems of …

A theorem on stability of steady motions of mechanical systems of specified type, is proved.
The theorem is then used to investigate the stability of uniform rotations of a rigid body with a …

A general concept of motion is dealt with covering various types of motions, defined by
differentional equations, difference equations etc., as special cases. A general definition of …

In the well-known studies by Liapunov and Poincare and in numerous subsequent
investigations it is assumed that the right-hand sides of (0.1) are continuous and can be …