Coupled lower and upper solution approach for the existence of solutions of nonlinear coupled system with nonlinear coupled boundary conditions
Título del documento: Coupled lower and upper solution approach for the existence of solutions of nonlinear coupled system with nonlinear coupled boundary conditions
Revista: Proyecciones (Antofagasta)
Base de datos: PERIÓDICA
Número de sistema: 000405935
ISSN: 0716-0917
Autores: 1
1
2
Instituciones: 1University of Management and Technology, School of Science, Lahore, Punjab. Pakistán
2Yuzuncu Yil University, Faculty of Sciences, Van. Turquía
Año:
Periodo: Mar
Volumen: 35
Número: 1
Paginación: 99-117
País: Chile
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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
Disciplinas: Matemáticas
Palabras clave: 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
Texto completo: Texto completo (Ver PDF)