Localization of the positive limit set of an almost periodic discrete system (Q1033923)

Motions of many dynamical systems presenting mathematical models of continuous evolution processes are described by normal systems of differential equations with periodic right hand side. By discretization, one obtains sequences which are almost periodic in general rather than periodic. The paper under review deals with the study of almost periodic discrete systems. The author proves the invariance of the positive limit set of a solution of an almost periodic system. Last section is a synthesis of the Lyapunov direct method and the method of limit equations.