Mathematical Logic Quarterly 53 (4‐5):511-531 (2007)

Abstract
We study computability of the abstract linear Cauchy problem equation image)where A is a linear operator, possibly unbounded, on a Banach space X. We give necessary and sufficient conditions for A such that the solution operator K: x ↦ u of the problem is computable. For studying computability we use the representation approach to computable analysis developed by Weihrauch and others. This approach is consistent with the model used by Pour-El/Richards
Keywords differential equations  Computable analysis  Cauchy problem
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DOI 10.1002/malq.200710015
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