On uniform logarithmic dichotomy of discrete skew-evolution semiflows

Abstract

The paper considers two notions of logarithmic dichotomy for discrete skew-evolution semiflows in Banach spaces. We establish the relation between them, we give a characterization for the uniform logarithmic dichotomy of Zabczyk type and a sufficient criteria for the uniform logarithmic dichotomy.

Keywords

• uniform logarithmic dichotomy
• discrete skew-evolution semiflows
• lyapunov function