Summary
The properties of solutions of finite systems are analyzed and it is shown by examples how these properties may be distorted and ultimately lost in passing from finite to infinite systems.
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To Enrico Bompiani on his Scientific Jubilee
This research was supported in part by United States Army through its Office of Ordnance Research under Grant DA-ORD-12. — Most of the results have been presented to various organisations such as Section A of the American Association for the Advancement of Science and mathematics colloquia at the universities of Leningrad, Moscow, and Toronto.
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Hille, E. Pathology of infinite systems of linear first order differential equations with constant coefficients. Annali di Matematica 55, 133–148 (1961). https://doi.org/10.1007/BF02412080
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DOI: https://doi.org/10.1007/BF02412080