General time-dependent bounded perturbation of a strongly continuous semigroup

  • M. V. Kartashov

Abstract

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.
Published
25.12.2005
How to Cite
Kartashov, M. V. “General Time-Dependent Bounded Perturbation of a Strongly Continuous Semigroup”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 12, Dec. 2005, pp. 1625–1632, https://umj.imath.kiev.ua/index.php/umj/article/view/3714.
Section
Research articles