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Numerical Approximation of Neutral Differential Equations on Infinite Interval
Authors:István Győri  Ferenc Hartung
Affiliation:Department of Mathematics and Computing , University of Veszprém , P.O. Box 158, Veszprém , H-8201 , Hungary
Abstract:

In this paper we study numerical approximation of linear neutral differential equations on infinite interval using equations with piecewise constant arguments. As an application of our approximation results, we obtain stability theorems for some classes of linear delay and neutral difference equations.
Keywords:Numerical Approximation  Equations With Piecewise Constant Arguments  Difference Equations  Stability
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