Solutions Almost Periodic at Infinity to Differential Equations With Unbounded Operator Coefficients
- Authors: Baskakov A.G.1, Strukova I.I.1, Trishina I.A.1
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Affiliations:
- Voronezh State University
- Issue: Vol 59, No 2 (2018)
- Pages: 231-242
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171737
- DOI: https://doi.org/10.1134/S0037446618020052
- ID: 171737
Cite item
Abstract
The new class of functions almost periodic at infinity is defined using the subspace of functions with integrals decreasing at infinity. We obtain spectral criteria for almost periodicity at infinity of bounded solutions to differential equations with unbounded operator coefficients. For the new class of asymptotically finite operator semigroups we prove the almost periodicity at infinity of their orbits.
About the authors
A. G. Baskakov
Voronezh State University
Author for correspondence.
Email: anatbaskakov@yandex.ru
Russian Federation, Voronezh
I. I. Strukova
Voronezh State University
Email: anatbaskakov@yandex.ru
Russian Federation, Voronezh
I. A. Trishina
Voronezh State University
Email: anatbaskakov@yandex.ru
Russian Federation, Voronezh