On Rothe and Rothe-Galerkin method for differential-operator equation

  • A. G. Zarubin
Conference paper


Great number of papers are reduced to finding of Cauchy problem for differential-operator equation in form
$$ u'(t) + Au(t) + F(u(t)) = f(t),\quad u(0) = 0 $$
in Hilbert space H, where A is a linear and F is non-linear operators. This paper is continuation of papers [1]–[2]. Finding of approximate solution by Rothe and Rothe-Galerkin methods is reduced, unlike [2], to solving of stationary linear operator equation or to solving of linear algebraic system.


Hilbert Space Cauchy Problem Separable Hilbert Space Linear Algebraic System Linear Hull 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • A. G. Zarubin
    • 1
  1. 1.State University of TechnologyKhabarovskRussia

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