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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… Click to show full abstract
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.
Keywords:
upper lower;
continuous functions;
equations upper;
differential equations;
absolutely continuous;
lower absolutely
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!