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

Autor: Song Wang, Xiao-Bao Shu, Linxin Shu
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 5, Pp 7685-7705 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022431?viewType=HTML
Popis: 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 the corresponding energy functional. Then the existence of critical points 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.
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