Upper and lower solutions method for a class of second-order coupled systems

Autor: Zelong Yu, Zhanbing Bai, Suiming Shang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-8 (2024)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-024-01837-3
Popis: Abstract 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.
Databáze: Directory of Open Access Journals
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