On Uniform Exponential Splitting of Variational Nonautonomous Difference Equations in Banach Spaces

Lyapunov functions for random semi‐dynamical systems in terms of tempered exponential splitting

“…We emphasize the fact that we use only invariant projectors for this. This is an extension of Biris et al 17 when tempered parameters are taken into account. Also, considering strong invariant projectors, we present the connection with the definition considered in Zhou et al 6 The importance and the necessity of analyzing such systems is stated in Remark 1.…”

On uniform polynomial splitting of variational nonautonomous difference equations in Banach spaces

“…These articles deal with the case of difference equations. For the skew-product semiflow framework we refer to [4] and [5]. Together with the exponential concepts, polynomial ones have been considered.…”

On uniform logarithmic dichotomy of discrete skew-evolution semiflows

“…In [13], the authors prove discrete conditions for a splitting concept in the case of skew-evolution semiflows and in [1], discrete characterizations for the splitting property of discrete cocycles are obtained. Also, in [11], the polynomial trichotomy is approached for skew-evolution semiflows as a generalization of the dichotomy notion.…”