Remotely Almost Periodic Motions of Dynamical Systems

The aim of this paper is studying the remotely almost periodic motions of dynamical systems and solutions of differential equations. We establish some properties of remotely almost periodic motions. The notion of remote comparability (comparability at the infinity) by the character of recurrence for remotely almost periodic motions is introduced. This notion plays a very important role in the study of the remotely almost periodic motions.