Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations

被引：3

作者：

Afrouzi, Ghasem A. ^{[1
]}

Moradi, Shahin ^{[1
]}

Caristi, Giuseppe ^{[2
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

[2] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2022年 / 30卷 / 02期

关键词：

Infinitely many solutions; Impulsive differential equations; Fourth-order problem; Kirchhoff equation; Variational methods; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; 4TH-ORDER EQUATIONS; MULTIPLICITY; EXISTENCE;

D O I：

10.1007/s12591-017-0397-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of solutions for impulsive beam equations of Kirchhoff-type. By using critical point theory, we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff-type have infinitely many solutions. Some recent results are extended and improved. An example is presented to demonstrate the application of our main results.

引用

页码：287 / 300

页数：14

共 36 条

[1] EXISTENCE OF THREE SOLUTIONS FOR A DOUBLY EIGENVALUE FOURTH-ORDER BOUNDARY VALUE PROBLEM [J].