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The impulsive delay differential equation is considered ( Lx )( t ) =  x ′( t ) + ∑  i =1    m    p    i  ( t ) x ( t  −  τ    i  ( t )) =  f ( t ),   t  ∈ [ a ,  b ],  x ( t    j  ) =  β    j    x ( t    j   − 0),   j  = 1,…,  k ,   a  =  t   0  <  t   1  <  t   2  < ⋯< t    k   <  t    k +1  =  b ,   x ( ζ ) = 0,   ζ  ∉ [ a ,  b ], with nonlocal boundary condition  lx  = ∫  ab    φ ( s ) x ′( s ) ds  +  θx ( a ) =  c ,  φ  ∈  L    ∞  [ a ,  b ];  θ ,   c  ∈  R . Various results on existence and uniqueness of solutions and on positivity/negativity of the Green's functions for this equation are obtained.

About Positivity of Green's Functions for Nonlocal Boundary Value Problems with Impulsive Delay Equations