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

Krzysztof Topolski


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 generalize previous results and present elementary and relatively simple proofs.
Author Krzysztof Topolski IM
Krzysztof Topolski,,
- Institute of Mathematics
Journal seriesElectronic Journal of Qualitative Theory of Differential Equations, ISSN 1417-3875
Issue year2017
Publication size in sheets0.55
Keywords in Englishgeneralized solution, discontinuous differential equations
URL https://doi.org/10.14232/ejqtde.2017.1.83
Languageen angielski
Score (nominal)30
ScoreMinisterial score = 25.0, 26-02-2018, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 26-02-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.926 (2) - 2016=0.884 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.