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  • 标题:Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations
  • 本地全文:下载
  • 作者:Rodrigo López Pouso ; Ignacio Márquez Albés ; Jorge Rodríguez-López
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-14
  • DOI:10.1186/s13662-020-02685-y
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We prove an existence result for systems of differential inclusions driven by multivalued mappings which need not assume closed or convex values everywhere, and need not be semicontinuous everywhere. Moreover, we consider differentiation with respect to a nondecreasing function, thus covering discrete, continuous and impulsive problems under a unique formulation. We emphasize that our existence result appears to be new even when the derivator is the identity, i.e. when derivatives are considered in the usual sense. We also apply our existence theorem for inclusions to derive a new existence result for discontinuous Stieltjes differential equations. Examples are given to illustrate the main results.
  • 关键词:Differential inclusions;Discontinuous differential equations;Stieltjes differential inclusions;Stieltjes differential equations;
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