On Generalized Carathéodory's Conditions in Ordinary Differential Equations |
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Authors: | Dariusz Bugajewski,Daria W jtowicz |
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Affiliation: | Dariusz Bugajewski,Daria Wójtowicz |
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Abstract: | In this paper we prove that generalized Carathéodory's conditions (so called (G) conditions) imply well - known general conditions which guarantee existence and some properties of solutions of the Cauchy problem, in the Carathéodory sense, as e.g. continuous dependence on initial conditions. |
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Keywords: | Carathé odory conditions Carathé odory solutions initial value problem |
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