Solutions of nonlinear impulsive It functional-differential equations: Stability by the linear approximation

We study the p-stability (2 a parts per thousand currency sign p < a) of solutions of nonlinear impulsive It functional-differential equations. To this end, we use the stability theory developed for deterministic functional-differential equations. The moment stability of solutions of nonlinear impulsive It functional-differential equations is studied with the use of the problem on the admissibility of a pair of spaces for linear impulsive It functional-differential equations. We prove assertions similar to traditional theorems on stability by the first approximation.