Bounds for the principal and stiff components based on the integral performance criterion for dichotomy (Q5954334)

The authors consider the norms of the principal and stiff components of the solution to the initial value problem of the form \(u(0)=u^0\), \(du/dt=Au\), where \(A\) is the finite-dimensional analog of an unbounded operator. For this norms, new bounds based on an integral performance criterion for dichotomy, including those for finite-dimensional analogs of sectorial operators, are obtained.