Publication Cover
Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 5
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Original Articles

Generalizations of a Theorem of Datko and Pazy

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Pages 1085-1090 | Published online: 09 Sep 2010

  • Datko , R. 1970 . Extending a theorem of Liapunov to Hubert spaces . J. Math. Anal.Appl. , 32 : 610 – 616 .
  • Ichikawa , A. 1984 . Equivalence of LP and uniform exponential stability for a class ofnonlinear semigroups . Nonlinear Analysis Theory and Applications , 8 : 805 – 810 .
  • Megan , M. , Sasu , A.L. and Sasu , B. A discrete variant of the theoremof Littman . Proceed. Conf. Analysis, Fund. Eq. Approx. Theory and Convexity . pp. 282 – 290 . Cluj-Napoca
  • Megan , M. , Sasu , A.L. and Sasu , B. 2000 . On uniform exponential stability ofperiodic evolution operators in Banach spaces . Ada Math. Uuniv. Comenianae , LXIX (I) : 97 – 106 .
  • Megan , M. and Pogan , A. On a generalization of a theorem of Datkoand Pazy . Proceed. Conf. Analysis, Fund. Eq. Approx. Theory and Convexity . pp. 164 – 170 . Cluj-Napoca
  • van Neerven , J.M.A.M. 1996 . The asymptotic behaviour of semigroups of linearoperators. Theory, Advances and Applications , Vol. 88 , Basel : Birkhauser. Verlag .
  • van Neerven , J.M.A.M. 2002 . Lower Semicontinuity and the Theorem of Datko andPazy . Integral Eq. Operator Th. , 42 : 482 – 492 .
  • Pazy , A. 1972 . On the applicability of Liapunov's theorem in Hubert spaces . SIAM.J. Math. Anal. AppL , 3 : 291 – 294 .
  • Pazy , A. 1983 . Semigroups of Linear Operators and Applications to PartialDifferential Equations , New York : Springer-Verlag .

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