info:eu-repo/semantics/article
Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
Fecha
2005-07Registro en:
Herdman, Terry; Spies, Ruben Daniel; Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 307; 2; 7-2005; 656-676
0022-247X
CONICET Digital
CONICET
Autor
Herdman, Terry
Spies, Ruben Daniel
Resumen
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 Dqz(t; q).