Abstract
We establish sufficient conditions for the solvability of the Cauchy problem for degenerate difference equations of the mth order in a Banach space.
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Teplins'kyi, Y.V., Semenyshyna, I.V. On the Cauchy Problem for Degenerate Difference Equations of the mth Order in a Banach Space. Ukrainian Mathematical Journal 55, 1363–1376 (2003). https://doi.org/10.1023/B:UKMA.0000010764.47088.1f
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DOI: https://doi.org/10.1023/B:UKMA.0000010764.47088.1f