Abstract
We calculate the explicit expression of the Green’s function for the periodic boundary value problem related to an impulsive linear differential equation and obtain the expression of the unique solution to this problem. This results are useful to obtain sufficient conditions for the existence of nonnegative solutions (resp. non positive) to the above-mentioned boundary value problem. This study is also useful to prove the existence of a unique solution to the periodic boundary value problem for an impulsive linear differential equation subject to functional dependence.
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