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In this paper, we study the existence of solutions for second-ordernon-instantaneous impulsive differential equations with a perturbation term. Byvariational approach, we obtain the problem has at least one solution underassumptions that the nonlinearities are super-quadratic at infinity, andsub-quadratic at the origin.

Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation