Structural stability of linear difference equations in Hilbert space

Computers and Mathematics with Applications

Volumn 36, Issue 10-12, 1998, Pages 71-76

  Aulbach, B ^a   Van Minh, N ^b   Zabreiko, P P ^c  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b HANOI UNIVERSITY   (Viet Nam)

^c BELARUSIAN STATE UNIVERSITY   (Belarus)

Author keywords

Exponential dichotomy; Linear difference equations; Structural stability

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; THEOREM PROVING;

EXPONENTIAL DICHOTOMY; HILBERT SPACE; LINEAR DIFFERENCE EQUATIONS;

DIFFERENCE EQUATIONS;

EID: 0032205555     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(98)80010-2     Document Type: Article

References (4)

1. J. Kurzweil and G. Papaschinopoulos, Structural stability of linear discrete systems via the exponential dichotomy, Czech. Math. J. 38, 280-284 (1988).
2. K. Palmer, A characterization of exponential dichotomy in terms of topological equivalence, J. Math. Anal. Appl. 69, 8-16 (1979).
3. K. Palmer, The structurally stable linear systems on the half-line are those with exponential dichotomies, J. Diff. Eqns. 33, 16-25 (1979).
4. B. Aulbach, N. Van Minh and P.P. Zabreiko, The concept of spectral dichotomy for linear difference equations, J. Math. Anal. Appl. 185, 275-287 (1994).