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 using variational method we first obtain Converter the corresponding energy functional.Then the existence of critical points are obtained by Desk Mount Brackets/Stands 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.