Variational approaches to impulsive elastic beam equations of Kirchhoff type. Issue 7 (2nd July 2016)

• Record Type: Journal Article
• Authors: Heidarkhani, Shapour; Afrouzi, Ghasem A.; Ferrara, Massimiliano; Moradi, Shahin
• Is Part Of: Complex variables and elliptic equations. Volume 61:Issue 7(2016)
• Page Start: 931
• Page End: 968
• Publication Date: 2016-07-02
• Subjects: multiple solutions -- impulsive differential equation -- fourth-order problem of Kirchhoff type -- variational methods -- critical point theory; 34B15 -- 58E05; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2015.1131681
• Languages: English
• ISSNs: 1747-6933

Abstract

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.