AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (272.2 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Three nonnegative solutions for Sturm-Liouville BVP and application to the complete Sturm-Liouville equations

Zhongqian Wang, Xuejun Zhang, Mingliang Song( )
School of Mathematical Sciences, Jiangsu Second Normal University, Nanjing 210013, China
Show Author Information

Abstract

The main purpose of this manuscript is to investigate the Sturm-Liouville BVP for non-autonomous Lagrangian systems. Under the suitable assumptions, we establish an existence theorem for three nonnegative solutions via Bonanno-Candito's three critical point theory. As an application in the complete Sturm-Liouville equations with Sturm-Liouville BVC, we get an existence theorem of three nonnegative solutions. Meanwhile, we give three examples to show the correctness of our results.

Keywords

Sturm-Liouville BVCLagrangian systemscritical pointsindex theorycomplete Sturm-Liouville equations
CLC number: 34B15, 34B24, 35B38, 58E05, 70H05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6543-6558
DOI: 10.3934/math.2023330

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Wang Z, Zhang X, Song M. Three nonnegative solutions for Sturm-Liouville BVP and application to the complete Sturm-Liouville equations. AIMS Mathematics, 2023, 8(3): 6543-6558. https://doi.org/10.3934/math.2023330

6

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 18 September 2022
Revised: 24 December 2022
Accepted: 26 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)