Finite Section Method for Linear Ordinary Differential Equations on the Full Line

  • I. Gohberg
  • M. A. Kaashoek
  • F. van Schagen
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 134)


Sufficient conditions are given in order that the solution of a linear ordinary differential equation on the full line is obtained as the limit of solu­tions of corresponding equations on finite intervals with boundary conditions or on half lines with initial conditions. Both the time-variant and the time-invariant case are considered, and in the latter case the sufficient conditions are also shown to be necessary. Included are applications to integral equations with semi-separable kernels.


Integral Equation Integral Operator Matrix Function Full Line Finite Interval 
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Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • I. Gohberg
    • 1
  • M. A. Kaashoek
    • 2
  • F. van Schagen
    • 3
  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityIsrael
  2. 2.Division of Mathematics and Computer ScienceVrije UniversiteitAmsterdamThe Netherlands
  3. 3.Division of Mathematics and Computer ScienceVrije UniversiteitAmsterdamThe Netherlands

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