Differential inclusions with measurable-pseudo-Lipschitz right-hand side
Евгений Сергеевич Половинкин · Proceedings of the Steklov Institute of Mathematics · 2013
We obtain existence theorems and Filippov-Ważewski 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.