A criterion for the exponential stability of linear difference equations

Applied Mathematics Letters

Volumn 17, Issue 7, 2004, Pages 779-783

  Pituk, M ^a  

^a UNIVERSITY OF PANNONIA   (Hungary)

Author keywords

Difference equations in Banach spaces; Exponential stability; Lp spaces; Linear equation

Indexed keywords

DIFFERENCE EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

CAUCHY PROBLEMS; EXPONENTIAL STABILITY; LINEAR OPERATORS;

LINEAR EQUATIONS;

EID: 7444246244     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.06.005     Document Type: Article

References (4)

1. B. Aulbach and N. VanMinh, The concept of spectral dichotomy for linear difference equations II, J. Difference Eq. Appl. 2, 251-262, (1996).
2. D.L. Kǔcer, On some criteria for the boundedness of the solutions of a system of differential equations (in Russian), Dokl. Akad. Nauk SSSR 69, 603-606, (1949).
3. Ju.L. Daleckǐ and M.G. Kreǐn, Stability of Solutions of Differential Equations in Banach. Space, Volume 43, Tiansl. Math. Monographs, Amer. Math. Soc., Rhode Island, (1974).
4. W.A. Coppel, Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, MA, (1965).