Abstract
In this paper we consider Impulsive stochastic neutral functional differential equations with multiple delays. By using Schaefer’s fixed point theorem, we prove the existence of solutions for stochastic differential equations with impulses
Highlights
In this paper we consider Impulsive stochastic neutral functional differential equations with multiple delays
The impulsive differential equations appear as a natural description of observed evolution phenomena of several real world problems
Existence of solutions of differential equations with random impulses have been studied by many authors [1,2,3]
Summary
The theory of impulsive differential equations is an important area x0=φ of scientific activity. Existence of solutions of differential equations with random impulses have been studied by many authors [1,2,3]. Discussed about the existence results for impulsive neutral functional differential equations with multiple delays. By the continuity of f and Ik, k=1, 2, ...m and the dominated convergence theorem, the right hand side of inequality (3.2) tends to zero as n → ∞, which completes the proof that Γ is continuous [15,16,17,18].
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