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A sufficient condition for GPN-stability for delay differential equations. (English) Zbl 0712.65079
The author considers a linear test delay differential equation with non- constant coefficients related to the definitions of PN and GPN-stability for numerical methods. He defines stability properties for an ordinary differential equation together with stability properties of interpolants for numerical methods and in this way he gives sufficient conditions for GPN-stability.
Reviewer: L.Torelli

MSC:
65L20 Stability and convergence of numerical methods for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
34K05 General theory of functional-differential equations
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