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
收藏
页码：287 / 300
页数：14
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