Finite Section Method for Linear Ordinary Differential Equations on the Full Line
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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.
KeywordsIntegral Equation Integral Operator Matrix Function Full Line Finite Interval
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