A contraction mapping proof of the smooth dependence on parameters of solutions to Volterra integral equations (Q960887)

The author considers the finite dimensional system \[ x(t)=a(t)-\int_0^t K(t,s)x(s)\, ds,\quad t\geq 0 \] of Volterra equations and uses contraction mapping arguments to obtain results showing that the solution depends on parameters as smoothly as the forcing function \(a\) and the kernel \(K\) depend on these parameters.