A Floquet-Liapunov theorem in Fréchet spaces

George N. Galanis; Efstathios E. Vassiliou

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 27, Issue: 3-4, page 427-436
  • ISSN: 0391-173X

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Galanis, George N., and Vassiliou, Efstathios E.. "A Floquet-Liapunov theorem in Fréchet spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 27.3-4 (1998): 427-436. <http://eudml.org/doc/84363>.

@article{Galanis1998,
author = {Galanis, George N., Vassiliou, Efstathios E.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Floquet-Lyapunov theorem; Fréchet fiber bundles},
language = {eng},
number = {3-4},
pages = {427-436},
publisher = {Scuola normale superiore},
title = {A Floquet-Liapunov theorem in Fréchet spaces},
url = {http://eudml.org/doc/84363},
volume = {27},
year = {1998},
}

TY - JOUR
AU - Galanis, George N.
AU - Vassiliou, Efstathios E.
TI - A Floquet-Liapunov theorem in Fréchet spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 27
IS - 3-4
SP - 427
EP - 436
LA - eng
KW - Floquet-Lyapunov theorem; Fréchet fiber bundles
UR - http://eudml.org/doc/84363
ER -

References

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  3. [3] H. Cartan, "Differential Calculus", Hermann, Paris, 1971. Zbl0223.35004MR344032
  4. [4] G. Galanis, On a type of linear differential equations in Fréchet spaces, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), 501-510. Zbl0902.34052MR1612393
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  7. [7] R. Lemmert, On ordinary differential equations in locally convex spaces, Nonlinear Anal.10 (1986), 1385-1390. Zbl0612.34056MR869547
  8. [8] J.A. Leslie, On a differential structure for the group of diffeomorphisms, Topology6 (1967),263-271. Zbl0147.23601MR210147
  9. [9] J.L. Massera - J.J. Schaeffer, "Linear Differential Equations and Function Spaces", Academic Press, London, 1966. Zbl0243.34107MR212324
  10. [10] L.S. Pontryagin, "Ordinary Differential Equations", Addison-Wesley, Reading Mass., 1962. Zbl0112.05502MR140742
  11. [11] H.H. Schaeffer, "Topological Vector Spaces", Springer-Verlag, 1980. Zbl0435.46003
  12. [12] J.J. Schaeffer, On Floquet's theorem in Hilbert spaces, Bull. Amer. Math. Soc.70 (1964), 243-245. Zbl0178.50702MR162041
  13. [13] E. Vassiliou, Floquet-type connections on principal bundles, Tensor(N.S.) 43 (1986), 189-195. Zbl0649.53008MR904658
  14. [14] E. Vassiliou, Total differential equations and the structure of fibre bundles, Bull. Greek Math. Soc.27 (1986), 149-159. Zbl0671.58002MR935449
  15. [15] E. Vassiliou - G. Galanis, Flat Fréchet principal bundles and their holonomy homomorphisms, (submitted). Zbl1011.58002
  16. [16] H.K. Wilson, "Ordinary Differential Equations", Addison-Wesley, Reading Mass., 1971. Zbl0224.34002MR280764

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