Work

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

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12233770

Authors: Ruoyi Liu, Zhan Zhou

Institution: Guangzhou University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: National Natural Science Foundation of China, Program for Changjiang Scholars and Innovative Research Team in University