On a theorem of Rolewicz for semigroups of operators in locally convex spaces

Mihail Megan; Alin Pogan

Annales mathématiques Blaise Pascal (2000)

  • Volume: 7, Issue: 1, page 23-35
  • ISSN: 1259-1734

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Megan, Mihail, and Pogan, Alin. "On a theorem of Rolewicz for semigroups of operators in locally convex spaces." Annales mathématiques Blaise Pascal 7.1 (2000): 23-35. <http://eudml.org/doc/79215>.

@article{Megan2000,
author = {Megan, Mihail, Pogan, Alin},
journal = {Annales mathématiques Blaise Pascal},
keywords = {uniform exponential stability; -semigroup; integrability condition},
language = {eng},
number = {1},
pages = {23-35},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {On a theorem of Rolewicz for semigroups of operators in locally convex spaces},
url = {http://eudml.org/doc/79215},
volume = {7},
year = {2000},
}

TY - JOUR
AU - Megan, Mihail
AU - Pogan, Alin
TI - On a theorem of Rolewicz for semigroups of operators in locally convex spaces
JO - Annales mathématiques Blaise Pascal
PY - 2000
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 7
IS - 1
SP - 23
EP - 35
LA - eng
KW - uniform exponential stability; -semigroup; integrability condition
UR - http://eudml.org/doc/79215
ER -

References

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  1. [1] R. Datko - Extending a theorem of A. M. Liapunov to Hilbert spaces, J. Math. Anal. Appl.32 (1970), 610-616. Zbl0211.16802MR268717
  2. [2] S. Drągan, M. Megan, A. Pogan - On a class of semigroups of operators in locally convex spaces, Sem. An. Mat. şi Aplicaţii în Teoria Controlului, Universitatea de Vest, Timişoara, 88(1998), 1-12. 
  3. [3] W. Littman - A generalization of a theorem of Datko and Pazy, Lecture Notes Control and Inform.Science130(1989), 318-323. Zbl0782.47038MR1029070
  4. [4] J.M.A.M. van Neerven - The Asymptotic Behaviour of Semigroups of Linear Operators, Operator Theory, Advanced and Applications, Birkhäuser, vol 88(1996). Zbl0905.47001MR1409370
  5. [5] S. Ouchi - Semigroups of operators in locally convex spaces, J. Math. Soc. Japan25(2) (1973), 265-276. Zbl0252.47033MR365227
  6. [6] A. Pazy - On the applicability of Liapunov's theorem in Hilbert spaces, SIAM. J. Math. Anal. Appl.3(1972), 291-294. Zbl0242.47028MR317105
  7. [7] A. Pazy - Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag (1983). Zbl0516.47023MR710486
  8. [8] S. Rollewicz - On uniform N-equistability, J. Math. Anal. Appl. 115 (1986), 434-441. Zbl0597.34064MR836237
  9. [9] J. Zabczyk - Remarks on the control of discrete-time distributed parameter systems, SIAM J. Control. Optim.12(1974), 721-735. Zbl0254.93027MR410506
  10. [10] Q. Zheng - The exponential stability and the perturbations problems of linear evolutions systems in Banach spaces, J. Sichan Univ.25(1998), 401-411. Zbl0693.35076MR995048

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