Title of article
Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
Author/Authors
Terry Herdman none، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
21
From page
656
To page
676
Abstract
Sufficient conditions are found under which the solutions z(t ;q) of a semilinear abstract Cauchy
problem of the form d
dt z(t) = A(q)z(t) + F(q, t,z(t)) are Fréchet differentiable with respect to
the parameter q. An explicit form is provided for the sensitivity equation satisfied by the Fréchet
derivative Dq z(t ;q).
2005 Elsevier Inc. All rights reserved
Keywords
Abstract Cauchy problem , Infinitesimal generator , Fréchet differentiability , Fréchet derivative , analytic semigroup
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933946
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