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

Boundary value problems

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