ISSN:
1572-9125
Keywords:
65L20
;
Asymptotic stability
;
numerical stability
;
one-parameter methods
;
systems of neutral differential equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper deals with the asymptotic stability of theoretical solutions and numerical methods for systems of neutral differential equationsx′=Ax′(t−τ)+Bx(t)+Cx(t−τ), whereA, B, andC are constant complexN ×N matrices, and τ〉0. A necessary and sufficient condition such that the differential equations are asymptotically stable is derived. We also focus on the numerical stability properties of adaptations of one-parameter methods. Further, we investigate carefully the characterization of the stability region.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01935649
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