Existence and flow invariance of solutions to non-autonomous Cauchy problems under separate subtangential conditions (Q1947297)

The author studies the problem of existence and flow-invariance of mild solutions in the form of a subtangential condition to the non-autonomous Cauchy problem \[ \dot{u}(t)+A(t)u(t)\ni 0, t\geq s, \,u(s)=u_0, \] where \(A(t)\) is a family of nonlinear multivalued \(\gamma\)-accretive operators with \(D(A(t))\) depending on \(t\).