期刊论文详细信息
Boundary value problems | |
Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations | |
Wenguang Yu1  Jian Liu2  | |
[1] School of Insurance, Shandong University of Finance and Economics, 250014, Jinan, China;School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, 250014, Jinan, China; | |
关键词: Two solutions; Elastic beam equations; Variational method; Impulsive effects; 34B15; 58E30; | |
DOI : 10.1186/s13661-021-01515-8 | |
来源: Springer | |
【 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202107021025606ZK.pdf | 1379KB | download |