[PDF][PDF] Lyapunov-type equation for discrete exponential trichotomies

D Dragicevic - J. Nonlin. Sci. Appl, 2017 - bib.irb.hr
For a nonautonomous dynamics obtained by a sequence of linear operators acting on an
arbitrary Hilbert space, we give a complete characterization of the notion of a uniform …

Necessary and sufficient conditions for weak exponential instability of evolution operators

N Lupa - arxiv preprint arxiv:1002.2372, 2010 - arxiv.org
arxiv:1002.2372v2 [math.CA] 29 Nov 2014 Page 1 arxiv:1002.2372v2 [math.CA] 29 Nov 2014
NECESSARY AND SUFFICIENT CONDITIONS FOR WEAK EXPONENTIAL INSTABILITY OF …

[PDF][PDF] DISCRETE CHARACTERIZATION OF EXPONENTIAL STABILITY OF EVOLUTION FAMILY OVER HILBERT SPACE

N Ahmad, A Zada, IU Khan - emis.icm.edu.pl
In this article we prove that if U={U (m, n)} m≥ n≥ 0 is a positive q-periodic discrete
evolution family of bounded linear operators acting on a complex Hilbert space H then U is …

Discrete Lyapunov theory for evolution families

CL Mihit, P Preda - Acta Mathematica Universitatis Comenianae, 2015 - iam.fmph.uniba.sk
The aim of the paper" Discrete Lyapunov theory for evolution families" is to obtain some
necessary and sufficient conditions for uniform exponential dichotomy, in the discrete case …

Lyapunov operator inequalities for exponential stability of linear skew-product semiflows in Banach spaces

C Praţa - Acta Mathematica Universitatis Comenianae, 2017 - iam.fmph.uniba.sk
In the present paper we prove a sufficient condition and a characterization for the stability of
linear skew-product semiflows by using Lyapunov function, in Banach spaces. These are …

A version of a theorem of AM Lyapunov for the stability and instability of evolution families in Banach spaces

C Praţa - Acta Scientiarum Mathematicarum, 2014 - Springer
Acta Sci. Math. (Szeged) Page 1 Acta Scientiarum Mathematicarum 80:3–4 (2014) c Bolyai
Institute, University of Szeged doi: 10.14232/actasm-012-566-4 Acta Sci. Math. (Szeged) 80 …

[PDF][PDF] Some Types of Stability For Nonlinear Systems Using Generalized Lyapunov-Like Function

SN Huseen - Journal of Thi-Qar University Special number Vol, 2010 - iasj.net
By using the definition of generalized Lyapunov–Like function and some types of stability,
we give a new bounds for Lyapunov function, which is lead to getting some types of stability …