Structural stability of linear discrete systems via the exponential dichotomy

Jaroslav Kurzweil; Garyfalos Papaschinopoulos

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 2, page 280-284
  • ISSN: 0011-4642

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Kurzweil, Jaroslav, and Papaschinopoulos, Garyfalos. "Structural stability of linear discrete systems via the exponential dichotomy." Czechoslovak Mathematical Journal 38.2 (1988): 280-284. <http://eudml.org/doc/13703>.

@article{Kurzweil1988,
author = {Kurzweil, Jaroslav, Papaschinopoulos, Garyfalos},
journal = {Czechoslovak Mathematical Journal},
keywords = {structural stability; discrete system; exponential dichotomy},
language = {eng},
number = {2},
pages = {280-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Structural stability of linear discrete systems via the exponential dichotomy},
url = {http://eudml.org/doc/13703},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Kurzweil, Jaroslav
AU - Papaschinopoulos, Garyfalos
TI - Structural stability of linear discrete systems via the exponential dichotomy
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 280
EP - 284
LA - eng
KW - structural stability; discrete system; exponential dichotomy
UR - http://eudml.org/doc/13703
ER -

References

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  1. W. A. Coppel, Stability and Asymptotic Behaviour of Differential Equations, Heath. Boston, 1965. (1965) MR0190463
  2. W. A. Coppel, Dichotomies in Stability Theory, Lecture Notes in Mathematics, No. 629, Springer Verlag, Berlin, 1978. (1978) Zbl0376.34001MR0481196
  3. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, No. 840, Springer-Verlag, Berlin, 1981. (1981) Zbl0456.35001MR0610244
  4. K. J. Palmer, 10.1016/0022-247X(79)90175-6, J. Math. Anal. Appl. 69 (1979), 8-16. (1979) Zbl0419.34011MR0535278DOI10.1016/0022-247X(79)90175-6
  5. K. J. Palmer, 10.1016/0022-0396(79)90076-7, J. Differential Equations, 33 (1979), 16-25. (1979) Zbl0378.34040MR0540813DOI10.1016/0022-0396(79)90076-7
  6. G. Papaschinopoulos, J. Schinas, Criteria for an exponential dichotomy of difference equations, Czechoslovak Math. J. 35 (110) 1985, 295-299. (1985) Zbl0693.39001MR0787131
  7. G. Papaschinopoulos, J. Schinas, A criterion for the exponential dichotomy of difference equations, Rend. Sem. Fас. Sci. Univ. Cagliari, Vol. 54, fasc. 1 (1984), 61-71. (1984) Zbl0607.39001MR0797224
  8. G. Papaschinopoulos, J. Schinas, Multiplicative separation, diagonalizability and structural stability of linear difference equations, Differential Equations: Qualitative theory (Szeged 1984), Colloq. Math. Soc. János Bolyai, 47, North-Holland, Amsterdam-New York. (1984) MR0890580
  9. G. Papaschinopoulos, 10.1016/0022-247X(86)90216-7, J. Math. Anal. Appl. 120 (1986), 276-287. (1986) Zbl0602.39001MR0861920DOI10.1016/0022-247X(86)90216-7
  10. G. Papaschinopoulos, J. Schinas, Structural stability via the density of a class of linear discrete systems, J. Math. Anal. Appl. (to appear). Zbl0628.39001MR0915075
  11. J. Schinas, G. Papaschinopoulos, Topological equivalence for linear discrete systems via dichotomies and Lyapunov functions, Boll. Un. Math. Ital. 6, 4 (1985), 61 - 70. (1985) Zbl0579.39004MR0805205

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