caa a22 4500 60552372X CHVBK 20210128100750.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10958-015-2566-3 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2566-3 Shaginian S. Yerevan State University, Yerevan, Armenia aut Force Structure Effect on the Stability of Motion Under Integrally Small Perturbations [Elektronische Daten] [S. Shaginian] The stability of dynamical systems for various types of perturbations has been considered by many authors. The stability of motion of dynamical systems subject to integrally small perturbation forces active on a finite time interval is considered in [1-3]. It is assumed that the perturbation forces are specified in terms of functions of a fairly general class, namely, the class of distributions (in particular, functions of the pulse type). This paper is aimed at stability problems describing the motion (or a state of equilibrium) of mechanical systems with holonomic stationary constraints, in the case of integrally small perturbations in the presence of additional gyroscopic and dissipative forces. We give a definition of the stability with respect to integrally small perturbations and formulate the main results obtained in this connection. We establish sufficient conditions for the stability or instability of motion (or a state of equilibrium) of mechanical systems with holonomic stationary constraints in the case of integrally small perturbations. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/3(2015-10-01), 281-291 1072-3374 210:3<281 2015 210 10958 https://doi.org/10.1007/s10958-015-2566-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2566-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shaginian S. Yerevan State University, Yerevan, Armenia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/3(2015-10-01), 281-291 1072-3374 210:3<281 2015 210 10958