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