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dc.contributor.author
Herdman, Terry  
dc.contributor.author
Spies, Ruben Daniel  
dc.date.available
2020-03-23T14:10:55Z  
dc.date.issued
2005-07  
dc.identifier.citation
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  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/100630  
dc.description.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 Dqz(t; q).  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ABSTRACT CAUCHY PROBLEM  
dc.subject
ANALYTIC SEMIGROUP  
dc.subject
FRÉCHET DERIVATIVE  
dc.subject
FRÉCHET DIFFERENTIABILITY  
dc.subject
INFINITESIMAL GENERATOR  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-20T20:05:27Z  
dc.journal.volume
307  
dc.journal.number
2  
dc.journal.pagination
656-676  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Herdman, Terry. Virginia Polytechnic Institute And State University;  
dc.description.fil
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina  
dc.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2005.02.044