Positive Solutions of Boundary Value Problems for General Second-Order Nonlinear Difference Equations

Ruoyi Liu and Zhan Zhou ()
Additional contact information
Ruoyi Liu: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Zhan Zhou: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Mathematics, 2024, vol. 12, issue 23, 1-16

Abstract: In this paper, we investigate positive solutions of boundary value problems for a general second-order nonlinear difference equation, which includes a Jacobi operator and a parameter λ . Based on the critical point theory, we obtain the existence of three solutions for the boundary value problem. Then, we establish a strong maximum principle for this problem and obtain some determined open intervals of the parameter λ for the existence of at least two positive solutions. In the end, we give two examples to illustrate our main results.

Keywords: boundary value problem; two positive solutions; critical point theory; nonlinear difference equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/23/3770/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/23/3770/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:23:p:3770-:d:1532875

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().