Summary
Necessary and sufficient conditions for integral boundedness are given in terms of a Liapunov function are given the construction of the Liapunov function is a modification of the Okamura function. Similar results are also given for the extendability of solutions under integral perturbations.
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Partially supported by a Summer Research Grant from the University of Missouri.
Partially supported under National Science Foundation GU-2648.
Entrata in Redazione il 10 novembre 1971.
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Bernfeld, S.R., Chow, SN. The boundedness and extendibality of differential systems under integral perturbation. Annali di Matematica 94, 377–386 (1972). https://doi.org/10.1007/BF02413620
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DOI: https://doi.org/10.1007/BF02413620