Upper and lower absolutely continuous functions with applications to discontinuous differential equations
AbstractWe 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.
|Journal series||Electronic Journal of Qualitative Theory of Differential Equations, ISSN 1417-3875|
|Publication size in sheets||0.55|
|Keywords in English||generalized solution, discontinuous differential equations|
|Score|| = 25.0, 26-02-2018, ArticleFromJournal|
= 30.0, 26-02-2018, ArticleFromJournal
|Publication indicators||: 2016 = 0.926 (2) - 2016=0.884 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.