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Bounded solutions of difference inclusions

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Abstract

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).

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References

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Correspondence to M. S. Bichegkuev.

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Original Russian Text © M.S. Bichegkuev, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 8, pp. 16–24.

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Bichegkuev, M.S. Bounded solutions of difference inclusions. Russ Math. 52, 12–19 (2008). https://doi.org/10.3103/S1066369X08080021

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  • DOI: https://doi.org/10.3103/S1066369X08080021

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