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

Abstract 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 illustra...

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Bibliographic Details
Main Authors: Jian Liu, Wenguang Yu
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01515-8
Description
Summary:Abstract 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.
ISSN:1687-2770