| Abstract: | In this paper we consider generalized dynamical systems whose integral vortex (that is, the set of all trajectories of the
system starting at a given point) is an acyclic set in the corresponding space of curves. For such systems we apply the theory
of fixed points for multi-valued maps in order to prove the existence of rest points. In this way we obtain new existence
theorems for rest points of generalized dynamical systems.
Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 28–36, January, 1999. |
