TY - JOUR
AU - M. V. Kartashov
PY - 2005/12/25
Y2 - 2023/02/09
TI - General time-dependent bounded perturbation of a strongly continuous semigroup
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 57
IS - 12
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3714
AB - 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.
ER -