Ordinary Differential Equations in Algebras of Generalized Functions

Evelina Erlacher, Michael Grosser

Publikation: Wissenschaftliche FachzeitschriftOriginalbeitrag in FachzeitschriftBegutachtung

Abstract

A local existence and uniqueness theorem for ODEs in the special algebra of generalized functions is established, as well as versions including parameters and dependence on initial values in the generalized sense. Finally, a Frobenius theorem is proved. In all these results, composition of generalized functions is based on the notion of c-boundedness.
OriginalspracheEnglisch
Seiten (von - bis)253 - 270
FachzeitschriftOperator Theory: Advances and Applications
Jahrgang231
DOIs
PublikationsstatusVeröffentlicht - 1 Dez. 2013

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