Ukrainian Mathematical Journal

, Volume 57, Issue 12, pp 1901–1910 | Cite as

General time-dependent bounded perturbation of a strongly continuous semigroup

  • M. V. Kartashov


We consider an evolution family whose generator is formed by a time-dependent bounded perturbation of a strongly continuous semigroup. We do not use the condition of the continuity of a perturbation. We prove a formula for a variation of a parameter and the corresponding generalization of the Dyson-Phillips theorem.


Continuous Semigroup Evolution Family Bounded Perturbation 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • M. V. Kartashov
    • 1
  1. 1.Shevchenko Kyiv National UniversityKyiv

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