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  • Stability conditions for abstract functional differential equations in Hilbert space
    Mastinšek, Miklavž
    Stability conditions for functional differential equations of the form: du (t)/dt = Au(t) + bAu(t-h) + (a*Au)(t) are studied, where A is the infinitesimal generator of an analytic semigroup in a ... Hilbert space, b ǂ 0 and the convolution term contains a square integrable real function a ǂ 0. Norm discontinuity of the solution semigroup of the equation with discrete delay is avoided by studying the inverse of the characteristic operator. Sufficient and necessary conditions for the uniform exponential stability of the solution semigroup are obtained. The results are applied to a retarded partial integrodifferential equation.
    Vir: Semigroup forum. - ISSN 0037-1912 (Vol. 66, 2003, str. 140-150)
    Vrsta gradiva - članek, sestavni del
    Leto - 2003
    Jezik - angleški
    COBISS.SI-ID - 6521884

    Povezava(-e):

    http://link.springer.de/link/service/journals/00233/contents/00/10122
    Digitalna knjižnica Univerze v Mariboru – DKUM

vir: Semigroup forum. - ISSN 0037-1912 (Vol. 66, 2003, str. 140-150)
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