Coupled lower and upper solution approach for the existence of solutions of nonlinear coupled system with nonlinear coupled boundary conditions
Document title: Coupled lower and upper solution approach for the existence of solutions of nonlinear coupled system with nonlinear coupled boundary conditions
Journal: Proyecciones (Antofagasta)
Database: PERIÓDICA
System number: 000405935
ISSN: 0716-0917
Authors: 1
1
2
Institutions: 1University of Management and Technology, School of Science, Lahore, Punjab. Pakistán
2Yuzuncu Yil University, Faculty of Sciences, Van. Turquía
Year:
Season: Mar
Volumen: 35
Number: 1
Pages: 99-117
Country: Chile
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract The present article investigates the existence of solutions of the following nonlinear second order coupled system with nonlinear coupled boundary conditions (CBCs) where f1, f2 : [0, 1] × R → R, µ : R6 → R2 and ν : R2 → R2 are continuous functions. The results presented in [7, 11] are extended in our article. Coupled lower and upper solutions, Arzela-Ascoli theorem and Schauder’s fixed point theorem play an important role in establishing the arguments. Some examples are taken to ensure the validity of the theoretical results
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Ecuaciones diferenciales,
Existencia,
Ecuaciones no lineales,
Condiciones de frontera,
Sistemas acoplados,
Teorema de Arzela-Ascoli,
Teorema del punto fijo de Schauder
Keyword: Mathematics,
Pure mathematics,
Differential equations,
Existence,
Nonlinear equations,
Boundary conditions,
Coupled systems,
Arzela-Ascoli theorem,
Schauder fixed-point theorem
Full text: Texto completo (Ver PDF)