General time-dependent bounded perturbation of a strongly continuous semigroup
- 37 Downloads
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.
KeywordsContinuous Semigroup Evolution Family Bounded Perturbation
Unable to display preview. Download preview PDF.
- 2.K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer, New York (2000).Google Scholar
- 5.I. I. Gikhman and A. V. Skorokhod, Theory of Random Processes [in Russian], Nauka, Moscow (1973).Google Scholar
- 6.N. V. Kartashov, Strong Stable Markov Chains, VSP, Utrecht (1996).Google Scholar