Upper and lower solutions method for a class of second-order coupled systems.
- Resource Type
- Article
- Authors
- Yu, Zelong; Bai, Zhanbing; Shang, Suiming
- Source
- Boundary Value Problems. 2/23/2024, Vol. 2024 Issue 1, p1-8. 8p.
- Subject
- *DIFFERENTIAL equations
*TOPOLOGICAL degree
*MAXIMUM principles (Mathematics)
- Language
- ISSN
- 1687-2762
This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential equation into a second-order differential system. Then, by constructing a homotopy parameter and utilizing the maximum principle, we propose an upper and lower solutions method for studying a class of second-order coupled systems with Dirichlet boundary conditions and obtain an existence result. [ABSTRACT FROM AUTHOR]