Upper and lower absolutely continuous functions with applications to discontinuous differential equations

We use upper and lower absolutely continuous functions as subsolutions and supersolutions to discontinuous ordinary differential equations. We present sufficient conditions for the existence of extremal solutions to initial value problems. Due to a new notion of sub and supersolutions we generaliz...

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Bibliographic Details
Main Author: Krzysztof Topolski
Format: Article
Language:English
Published: University of Szeged 2017-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6075