Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems

• Autores: M. El-Gebeily, A. Boumenir, M. B. M. Elgindi
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 3, 1993, pág. 345
• Idioma: inglés
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• Resumen

  • El-Gebeily, M.A., A. Boumenir and M.B.M. Elgindi, Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems, Journal of Computational and Applied Mathematics 46 (1993) 345–355.

    This paper is concerned with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is shown that the problem has a unique solution only for certain boundary conditions under the assumption that the range of ∂f/∂y has empty intersection with the closure of the spectrum of the singular differential operator, where f denotes the nonlinearity.