2017
Том 69
№ 9

All Issues

General time-dependent bounded perturbation of a strongly continuous semigroup

Kartashov M. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 12, pp 1901-1910.

Citation Example: Kartashov M. V. General time-dependent bounded perturbation of a strongly continuous semigroup // Ukr. Mat. Zh. - 2005. - 57, № 12. - pp. 1625–1632.

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