Email this article On Stability of Perturbed Semigroups in Partially Ordered Banach Spaces
- Authors: Kamenskii M.I.1, Gudoshnikov I.M.1
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Affiliations:
- Voronezh State University
- Issue: Vol 233, No 6 (2018)
- Pages: 853-874
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241713
- DOI: https://doi.org/10.1007/s10958-018-3970-2
- ID: 241713
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Abstract
We prove necessary and sufficient stability conditions for perturbed semigroups of linear operators in Banach spaces with cones and consider examples using these conditions. In particular, we consider an example where the boundary-value problem is perturbed by a linear operator with a delayed independent variable and establish stability conditions for such a perturbed semigroup.
About the authors
M. I. Kamenskii
Voronezh State University
Author for correspondence.
Email: mikhailkamenski@mail.ru
Russian Federation, Voronezh
I. M. Gudoshnikov
Voronezh State University
Email: mikhailkamenski@mail.ru
Russian Federation, Voronezh
