Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions

Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions

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In this paper, we study sufficient conditions for the existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions.By Bed Rails using variational method we first obtain the corresponding energy functional.Then the existence of critical points Baby Changing Stations are obtained by using Mountain pass lemma and Minimax principle.Finally we assert the critical point of enery functional is the mild solution of damped random impulsive differential equations.