Geodesic
Almost periodic at infinity functions from homogeneous spaces as solutions to differential equations with unbounded operator coefficients
Eurasian mathematical journal, Tome 11 (2020) no. 4, pp. 8-24

Voir la notice de l'article provenant de la source Math-Net.Ru

By using the subspace of functions from homogeneous spaces with integrals decreasing at infinity we define new classes of functions almost periodic at infinity. We obtain spectral criteria for a function to be almost periodic at infinity and asymptotically almost periodic (with respect to the chosen subspace). These results are used for deriving criteria for almost periodicity at infinity of bounded solutions to differential equations with unbounded operator coefficients. In addition, for the new class of asymptotically finite-dimensional operator semigroups we prove the almost periodicity at infinity of their orbits. 
@article{EMJ_2020_11_4_a0,
     author = {A. G. Baskakov and V. E. Strukov and I. I. Strukova},
     title = {Almost periodic at infinity functions from homogeneous spaces as solutions to differential equations with unbounded operator coefficients},
     journal = {Eurasian mathematical journal},
     pages = {8--24},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2020_11_4_a0/}
}
TY  - JOUR
AU  - A. G. Baskakov
AU  - V. E. Strukov
AU  - I. I. Strukova
TI  - Almost periodic at infinity functions from homogeneous spaces as solutions to differential equations with unbounded operator coefficients
JO  - Eurasian mathematical journal
PY  - 2020
SP  - 8
EP  - 24
VL  - 11
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2020_11_4_a0/
LA  - en
ID  - EMJ_2020_11_4_a0
ER  - 
%0 Journal Article
%A A. G. Baskakov
%A V. E. Strukov
%A I. I. Strukova
%T Almost periodic at infinity functions from homogeneous spaces as solutions to differential equations with unbounded operator coefficients
%J Eurasian mathematical journal
%D 2020
%P 8-24
%V 11
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2020_11_4_a0/
%G en
%F EMJ_2020_11_4_a0
A. G. Baskakov; V. E. Strukov; I. I. Strukova. Almost periodic at infinity functions from homogeneous spaces as solutions to differential equations with unbounded operator coefficients. Eurasian mathematical journal, Tome 11 (2020) no. 4, pp. 8-24. http://geodesic.mathdoc.fr/item/EMJ_2020_11_4_a0/