INVESTIGADORES
SPIES Ruben Daniel
artículos
Título:
Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
Autor/es:
RUBEN D. SPIES
Revista:
Revista MAT. Serie A
Editorial:
Departamento de Matemática, Facultad de Ciencias Empresariales, Universidad Austral
Referencias:
Año: 2004 vol. 8 p. 1 - 10
ISSN:
1515-4904
Resumen:
The Frechet di®erentiability with respect to a parameter q of the solutions z(t; q) of Cauchy problems of the form d/dt z(t) = A(q)z(t) + F(q; t; z(t)) is analyzed. Su±cient conditions on the operator A(q) and on F are derived and the corresponding sensitivity equations for the Frechet derivative Dqz(t; q) are found.