In this paper we prove some results on the existence of solutions and
the mean square asymptotic stability for a class of impulsive neutral
stochastic differential systems with variable delays by using a contraction
mapping principle. Namely, a sufficient condition ensuring the asymptotic stability is proved. The assumptions do not impose any restrictions
neither on boundedness nor on the differentiability of the delay functions.
In particular, the results improve some previous ones in the literature. Finally, an example is exhibited to illustrate the effectiveness of the results.Ministerio de Economía y Competitividad (MINECO). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)Junta de AndalucíaEuropean Mathematical Societ