Summary
In this paper we investigate the extendability of solutions of ordinary differential equations on [to, ∞) with the use of Liapunov functions. The results extend to non-unique systems the work done by Conti and Strauss, as well as establishing an equivalence between two properties of a Liapunov function.
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This work is part of the author's doctoral thesis under the direction of ProfessorA. Strauss at the University of Maryland. This research was supported in part by the National Science Foundation under Grant GP-6167.
Entrata in Redazione il 20 febbraio 1970.
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Bernfeld, S.R. Global existence without uniqueness. Annali di Matematica 87, 227–236 (1970). https://doi.org/10.1007/BF02411978
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DOI: https://doi.org/10.1007/BF02411978