On a weakened Cauchy problem for a linear differential inclusion (Q881022)

The author introduces and studies the concept of weakened solution for a Cauchy problem of the form \[ \dot x(t)\in A(x(t)),\quad x(0)=x_0, \] where the right-hand side \(A\) is a closed linear relation on a Banach space \(X\), i.e., the graph of \(A\) is a closed linear subspace of \(X\times X\).