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
Autors: 1
1
2
Institucions: 1University of Management and Technology, School of Science, Lahore, Punjab. Pakistán
2Yuzuncu Yil University, Faculty of Sciences, Van. Turquía
Any:
Període: Mar
Volum: 35
Número: 1
Paginació: 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
Disciplines Matemáticas
Paraules clau: 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
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