Finite section method for linear ordinary differential equations.

I. Gohberg, M.A. Kaashoek, F. van Schagen

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

Sufficient conditions are given for the solution of a linear ordinary differential equation on the half line to be obtained as the limit of solutions of corresponding equations on finite intervals. Both the time-variant and the time-invariant case are considered, and in the latter case the sufficient conditions referred to above are also shown to be necessary. Included are applications to a differential equation that appears in linear transport theory, and to integral equations with semi-separable kernels. © 2000 Academic Press.
Original languageEnglish
Pages (from-to)312-334
JournalJournal of Differential Equations
Volume163
DOIs
Publication statusPublished - 2000

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