Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations

被引：0
|
作者：
Liu, Jian [1 ]
Yu, Wenguang [2 ]
机构：
[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Peoples R China
[2] Shandong Univ Finance & Econ, Sch Insurance, Jinan 250014, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Two solutions; Elastic beam equations; Variational method; Impulsive effects; DAMPED HAMILTONIAN-SYSTEMS; VARIATIONAL APPROACH; MULTIPLE SOLUTIONS; NONZERO SOLUTIONS;
D O I：
10.1186/s13661-021-01515-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence of two solutions for superlinear fourth-order impulsive elastic beam equations is obtained. We get two theorems via variational methods and corresponding two-critical-point theorems. Combining with the Newton-iterative method, an example is presented to illustrate the value of the obtained theorems.
引用
收藏
页数：10
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