Abstract
We obtain necessary and sufficient conditions for the existence and uniqueness of bounded solutions for some classes of linear one- and two-parameter difference equations with operator coefficients in a Banach space.
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REFERENCES
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M. F. Horodnii and O. A. Lahoda, “On bounded solutions of some classes of two-parameter difference equations in a Banach space,” Ukr. Mat. Zh., 52, No. 12, 1610–1614 (2000).
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Horodnii, M.F., Lahoda, O.A. Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients. Ukrainian Mathematical Journal 53, 1817–1824 (2001). https://doi.org/10.1023/A:1015298712652
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DOI: https://doi.org/10.1023/A:1015298712652