Uniform stability theorems for delay differential equations with impulses

Abstract In the paper, we obtain sufficient conditions for the uniform stability of the zero solution of the delay differential equation with impulses { x ′ ( t ) + h ( t , x ( t ) ) = f ( t , x ( t − τ ) ) , t ⩾ t 0 , t ≠ t k , x ( t k + ) − x ( t k ) = I k ( x ( t k ) ) , k ∈ N .

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