Larisa Biris, Mihail Megan: On a concept of exponential dichotomy for cocycles of linear operators in Banach spaces, p. 217-223


In this paper we study a concept of exponential dichotomy for a cocycle $C$ over a semiflow $S$. Characterizations of this concept are obtained from the point of view of the projectors families (invariant and strongly invariant). We note that we don't need to assume the strong continuity and invertibility of cocycles. Some illustrating examples which motivate the use of this concept of exponential dichotomy are presented.

Key Words: Cocycle over a semiflow, invariant projector, strongly invariant projector, exponential dichotomy

2010 Mathematics Subject Classification: Primary 34D05
Secondary 34D09