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  • 1
    Electronic Resource
    Electronic Resource
    The asymptotic stability of one-parameter methods for neutral differential equations (1994)
    Springer
    BIT 34 (1994), S. 400-408 
    Details
    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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