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A study of almost-everywhere singleton-valued Filippovs


Authors: Daniel C. Biles and John S. Spraker
Journal: Proc. Amer. Math. Soc. 114 (1992), 469-473
MSC: Primary 34A60
DOI: https://doi.org/10.1090/S0002-9939-1992-1074749-X
MathSciNet review: 1074749
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Abstract: Filippov solutions of $ x'(t) = f(t,x(t))$ are defined in terms of a certain set-valued function called the Filippov of $ f$. Under some fairly general assumptions, we answer the following question: The Filippovs of $ f$ and $ g$ are equal if and only if $ f$ and $ g$ relate in what way?


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DOI: https://doi.org/10.1090/S0002-9939-1992-1074749-X
Keywords: Filippov solution
Article copyright: © Copyright 1992 American Mathematical Society