27 citations · 42 across the 12 of their papers we have counts for
14 papers
(h; k)-Dichotomy and Lyapunov Type Norms
Violeta Crai, Mihail Megan
The paper considers a general concept of nonuniform (h; k)- dichotomy for evolution operators in Banach spaces. Two characterizations of this concept in terms of some families of n…
On -trichotomy of evolution operators in Banach spaces
M. Megan, T. Ceausu, V. Crai
The paper considers some concepts of trichotomy with different growth rates for evolution operators in Banach spaces. Connections between these concepts and characterizations in te…
Lyapunov functions for trichotomy with growth rates of evolution operators in Banach spaces
V. Crai, M. Megan
The main objective of this paper is to give a characterization in terms of Lyapunov functions for trichotomy with growth rates of evolution operators in Banach spaces.
Exponential Splitting for Nonautonomous Linear Discrete-Time Systems in Banach Spaces
Mihail Megan, Ioan-Lucian Popa
In this paper we consider some concepts of exponential splitting for nonautonomous linear discrete-time systems. These concepts are generalizations of some well-known concepts of (…
Characterizations of the Trichotomy for Linear Time-Varying Systems
Ioan-Lucian Popa, Traian Ceauşu, Mihail Megan
The present paper considers a concept of trichotomy for noninvertible linear time-varying systems in Hilbert spaces. This work provides a characterization for linear ti…
Nonuniform power instability and Lyapunov sequences
Ioan-Lucian Popa, Traian Ceausu, Mihail Megan
The aim of this paper is to present necessary and sufficient conditions for nonuniform power instability property of linear discrete-time systems in Banach spaces. A characterizati…