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Title Variational approaches to impulsive elastic beam equations of Kirchhoff type
Type JournalPaper
Keywords Multiple solutions; impulsive differential equation; fourth-order problem of Kirchhoff type; variational methods; critical point theory
Abstract In this paper, we study the existence of multiple solutions for impulsive fourth-order differential equations of Kirchhoff type.Using a variational method and some critical points theorems,we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff type have three and infinitely many solutions. Some recent results are extended and improved. Some examples are presented to demonstrate the applications of our main results
Researchers Massimiliano Ferrara (Third Researcher), shapour heidarkhani (First Researcher), shahin moradi (Fourth Researcher), Ghasem Alizadeh Afrouzi (Second Researcher)