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

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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Main Authors: Jian Liu, Wenguang Yu
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Boundary Value Problems
Subjects:
Two solutions
Elastic beam equations
Variational method
Impulsive effects
Online Access:https://doi.org/10.1186/s13661-021-01515-8
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spelling doaj-5e2b1b5436614729bc7b97c146c957412021-04-04T11:43:26ZengSpringerOpenBoundary Value Problems1687-27702021-03-012021111010.1186/s13661-021-01515-8Two solutions to Kirchhoff-type fourth-order implusive elastic beam equationsJian Liu0Wenguang Yu1School of Mathematics and Quantitative Economics, Shandong University of Finance and EconomicsSchool of Insurance, Shandong University of Finance and EconomicsAbstract 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.https://doi.org/10.1186/s13661-021-01515-8Two solutionsElastic beam equationsVariational methodImpulsive effects
collection DOAJ
language English
format Article
sources DOAJ
author Jian Liu
Wenguang Yu
spellingShingle Jian Liu
Wenguang Yu
Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations
Boundary Value Problems
Two solutions
Elastic beam equations
Variational method
Impulsive effects
author_facet Jian Liu
Wenguang Yu
author_sort Jian Liu
title Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations
title_short Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations
title_full Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations
title_fullStr Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations
title_full_unstemmed Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations
title_sort two solutions to kirchhoff-type fourth-order implusive elastic beam equations
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2021-03-01
description 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.
topic Two solutions
Elastic beam equations
Variational method
Impulsive effects
url https://doi.org/10.1186/s13661-021-01515-8
work_keys_str_mv AT jianliu twosolutionstokirchhofftypefourthorderimplusiveelasticbeamequations
AT wenguangyu twosolutionstokirchhofftypefourthorderimplusiveelasticbeamequations
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