Data di Pubblicazione:
2014
Citazione:
Ultrafunctions and applications / V. Benci, L. Luperi Baglini. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 7:4(2014 Aug), pp. 593-616.
Abstract:
This paper deals with a new kind of generalized functions, called "ultrafunctions", which have been introduced recently in [5] and developed in [10] and [11]. Their peculiarity is that they are based on a Non Archimedeanfield, namely on a field which contains infinite and infinitesimal numbers. Ultrafunctions have been introduced to provide generalized solutions to equations which do not have any solutions, not even among the distributions. Some applications of this kind will be presented in the second part of this paper.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Non Archimedean Mathematics; Non Standard Analysis; ultrafunctions; generalized solutions; critical points; differential operator; boundary value problem; material point
Elenco autori:
V. Benci, L. Luperi Baglini
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