Short communication
On solutions of Hammerstein's equation in Banach spaces

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Abstract

Tikhonov regularization is used to solve Hammerstein's operator equation with non-linear semicontinuous and monotonic operators in Banach spaces. Galerkin's method is used to solve the regularized equation.

References (12)

  • A.A. Fonarev

    On approximate solutions of Hammerstein's equation

    Sibirskii matem. zh.

    (1980)
  • A.N. Tikhonov et al.

    Methods of solving ill-posed problems

    (1979)
  • Ya.I. Al'ber et al.

    Regularization of non-linear equations with monotonic operators

    Zh. vych. Mat. i mat. Fiz.

    (1975)
  • Ya.I. Al'ber

    On solutions of non-linear equations with monotonic operators in Banach space

    Sibirskii matem. zh.

    (1975)
  • Ya.I. Al'ber et al.

    On the solution of non-linear problems with monotonie discontinuous mappings

    Differents. ur-niya

    (1979)
  • M.M. Vainberg

    The variational method and the method of monotonic operators

    (1972)
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Cited by (2)

  • Ball algorithms for constructing solutions of nonlinear operator equations

    1991, Journal of Computational and Applied Mathematics
  • Convergence rates in regularization for hammerstein equations

    1999, Computational Mathematics and Mathematical Physics

Zh. vychisl.Mat.mat.Fiz.,25,8,1256–1260,1985.

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