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The approximate solution of nonlinear singular integro-differential equations

  • Autores: M. H. Saleh, S. M. Amer
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 2, 1990, págs. 175-188
  • Idioma: inglés
  • Títulos paralelos:
    • Solución aproximada de ecuaciones integro-diferenciales singulares no lineales
  • Enlaces
  • Resumen
    • This paper concerns the sufficient conditions for the applicability of the Newton-Kantorovich method to nonlinear singular integro-differential equation with Hilbert Kernel.

  • Referencias bibliográficas
    • Gakhov, F. D., Boundary Value Problems, Pergamon, London, 1966.
    • Guseinov, A. I. and Mukhtarov, Kh. Sh., Introduction to the Theory of Nonlinear Singular Integral Equations (in Russian), Nauk, Moscow, 1980.
    • Ivanitskii, V. G., The approximate solution of nonlinear singular integral equations by the Newton-Kantorovich method, Differential Equations...
    • Lorentz, G. G., Approximation of Functions, Holt, Rinehart and Winston, 1966.
    • Mal’sagov, S. M., Application of Newton-Kantorovich method in the solution of nonlinear singular integro-differential equations with Hilbert...
    • Pogorzelski, W., Integral Equations and their Applications, vol. I, Pergamon, Oxford, 1966.
    • Saleh, M. H. and Amer. S. M., Approximate solution of certain class of nonlinear singular integral equations, Collect. Math. 38 (1987), 161–175.
    • Wolfersdorf, L. V., A class of nonlinear singular integral and integro-differential equations with Hilbert kernel, Zeitschrift für Analysis...

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