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arXiv · 2311.02219

On the dimension of the solution space of linear difference equations over the ring of infinite sequences

Sergei Abramov·Gleb Pogudin
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Abstract

For a linear difference equation with the coefficients being computable sequences, we establish algorithmic undecidability of the problem of determining the dimension of the solution space including the case when some additional prior information on the dimension is available.

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Sergei Abramov, Gleb Pogudin. 2023-11-03. On the dimension of the solution space of linear difference equations over the ring of infinite sequences. https://arxiv.org/abs/2311.02219

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