Differential inclusions with measurable-pseudo-Lipschitz right-hand side

作者:Polovinkin E S*
来源:Proceedings of the Steklov Institute of Mathematics, 2013, 283(1): 116-135.
DOI:10.1134/S0081543813080099

摘要

We obtain existence theorems and Filippov-WaA1/4ewski type relaxation theorems for differential inclusions in Banach spaces with measurable-pseudo-Lipschitz right-hand side. For the solution sets of these differential inclusions, we also describe some properties that extend classical theorems on continuous dependence and on differentiation of solutions with respect to initial data.

  • 出版日期2013-12