Numerical analysis of functional equations with a variable delay. (English) Zbl 0795.65048
Griffiths, D. F. (ed.) et al., Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 260, 17-33 (1992).
The system \(y'(t)= Ay(t)+ By(qt)+ Cy'(qt)\), \(y(0)= y_ 0\) is studied by means of multistep methods, where \(A\), \(B\), \(C\) are \(d\times d\) matrices, \(q\in (0,1)\) is a given number. For the scalar equation and \(q= 1/2\) stability conditions are given.
For the entire collection see [Zbl 0787.00029].
For the entire collection see [Zbl 0787.00029].
Reviewer: M.Bartušek (Brno)
MSC:
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
| 34K05 | General theory of functional-differential equations |
