Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes

Petre Preda; Alin Pogan; Ciprian Preda

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 425-435
  • ISSN: 0011-4642

Abstract

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The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.

How to cite

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Preda, Petre, Pogan, Alin, and Preda, Ciprian. "Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes." Czechoslovak Mathematical Journal 56.2 (2006): 425-435. <http://eudml.org/doc/31039>.

@article{Preda2006,
abstract = {The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.},
author = {Preda, Petre, Pogan, Alin, Preda, Ciprian},
journal = {Czechoslovak Mathematical Journal},
keywords = {evolutionary processes; uniform exponential stability; evolutionary processes; uniform exponential stability},
language = {eng},
number = {2},
pages = {425-435},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes},
url = {http://eudml.org/doc/31039},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Preda, Petre
AU - Pogan, Alin
AU - Preda, Ciprian
TI - Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 425
EP - 435
AB - The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.
LA - eng
KW - evolutionary processes; uniform exponential stability; evolutionary processes; uniform exponential stability
UR - http://eudml.org/doc/31039
ER -

References

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  7. 10.1007/BF01270925, Int. Eq. Op. Theory 42 (2002), 482–492. (2002) Zbl1040.47033MR1885446DOI10.1007/BF01270925
  8. 10.1137/0503028, SIAM. J. Math. Anal. Appl. 3 (1972), 291–294. (1972) MR0317105DOI10.1137/0503028
  9. Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, 1983. (1983) Zbl0516.47023MR0710486
  10. On uniform N-equistability, J. Math. Anal. Appl. 115 (1986), 434–441. (1986) Zbl0597.34064MR0836237
  11. 10.1137/0312056, SIAM J. Control. Optim. 12 (1974), 721–735. (1974) Zbl0254.93027MR0410506DOI10.1137/0312056

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