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 CMFD, 2016, Volume 59, Pages 97–118 (Mi cmfd289)

On stability of perturbed semigroups in partially ordered Banach spaces

M. I. Kamenskii, I. M. Gudoshnikov

Voronezh State University, Voronezh, Russia

Abstract: We prove necessary and sufficient conditions for stability of perturbed semigroups of linear operators in Banach spaces with cones and consider some examples of using these conditions. In particular, we consider an example where the boundary-value problem is perturbed by a linear operator with delayed argument and establish conditions of stability for such a perturbed semigroup.

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UDC: 517.9

Citation: M. I. Kamenskii, I. M. Gudoshnikov, “On stability of perturbed semigroups in partially ordered Banach spaces”, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, CMFD, 59, PFUR, M., 2016, 97–118

Citation in format AMSBIB
\Bibitem{KamGud16} \by M.~I.~Kamenskii, I.~M.~Gudoshnikov \paper On stability of perturbed semigroups in partially ordered Banach spaces \inbook Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22--29, 2014). Part~2 \serial CMFD \yr 2016 \vol 59 \pages 97--118 \publ PFUR \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd289}