Stability of nonlinear delay differential equations with impulses (Q1887991)

The authors consider a nonlinear scalar functional-differential equation with impulses \[ \dot{x}(t)=F(t, x(.)),\;t\geq 0,\;t\not= t_k, \] \[ x(t_k^{+}) =x(t_k)+I_k(x(t_k)), k\in \mathbb N. \] Using some new technique, they improve many known \(\frac{3}{2}\)-stability results for this equation including the nonimpulsive case.