On bounded solutions of difference inclusions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 16-24

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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/}
}
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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/