| Titre : | Set-valued analysis | | Type de document : | texte imprimé | | Auteurs : | Jean-Pierre AUBIN, Auteur ; Hélène FRANKOWSKA, Auteur | | Editeur : | Basel : Birkhäuser Verlag | | Année de publication : | cop. 1990 | | Collection : | Systems & Control : Foundations & Applications num. 2 | | Importance : | XIX-461 p. | | ISBN/ISSN/EAN : | 978-0-8176-3478-0 | | Langues : | Anglais | | Mots-clés : | analyse | | Résumé : | Set-valued analysis has increasingly become recognized as an essential mathematical tool in the solution of problems arising in a diverse group of scientific, technical and other academic disciplines. Set-Valued Analysis provides, for the first time, a clear introduction to these new versatile and powerful concepts, placing them firmly in the familiar context of classical analysis, and preparing the reader to utilize directly their unifying and compelling properties.
Nonlinear analysis, nonlinear programming, mathematical economics and management, control theory, biology, systems sciences, artificial intelligence, and many other fields of investigation are rich sources of problems of a set-valued character. The models arising from these problems may lack existence and/or uniqueness in their solutions; further constraints may destroy the familiar regularity requirements; some information on the solution may be known and the coefficients unknown (inverse problems); qualitative data and/or solutions may be preferred to quantitative ones; disturbances and perturbations may have to be taken into account; plain uncertainty may be involved; and so on. | | Note de contenu : | index, bibliogr. |
Set-valued analysis [texte imprimé] / Jean-Pierre AUBIN, Auteur ; Hélène FRANKOWSKA, Auteur . - Basel : Birkhäuser Verlag, cop. 1990 . - XIX-461 p.. - ( Systems & Control : Foundations & Applications; 2) . ISBN : 978-0-8176-3478-0 Langues : Anglais | Mots-clés : | analyse | | Résumé : | Set-valued analysis has increasingly become recognized as an essential mathematical tool in the solution of problems arising in a diverse group of scientific, technical and other academic disciplines. Set-Valued Analysis provides, for the first time, a clear introduction to these new versatile and powerful concepts, placing them firmly in the familiar context of classical analysis, and preparing the reader to utilize directly their unifying and compelling properties.
Nonlinear analysis, nonlinear programming, mathematical economics and management, control theory, biology, systems sciences, artificial intelligence, and many other fields of investigation are rich sources of problems of a set-valued character. The models arising from these problems may lack existence and/or uniqueness in their solutions; further constraints may destroy the familiar regularity requirements; some information on the solution may be known and the coefficients unknown (inverse problems); qualitative data and/or solutions may be preferred to quantitative ones; disturbances and perturbations may have to be taken into account; plain uncertainty may be involved; and so on. | | Note de contenu : | index, bibliogr. |
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Set-valued analysis (cop. 1990)
