On bounded solutions of difference inclusions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 16-24
Voir la notice de l'article provenant de la source Math-Net.Ru
We establish the necessary and sufficient conditions for the uniqueness of a solution to a difference inclusion in the space of bilateral vector sequences. The proof of the main result is based on the spectral theory of linear relations (multivalued linear operators).
Keywords:
linear relation, spectrum of a linear relation, difference inclusion, multiplication operator.
@article{IVM_2008_8_a1,
author = {M. S. Bichegkuev},
title = {On bounded solutions of difference inclusions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {16--24},
publisher = {mathdoc},
number = {8},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2008_8_a1/}
}
M. S. Bichegkuev. On bounded solutions of difference inclusions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 16-24. http://geodesic.mathdoc.fr/item/IVM_2008_8_a1/