The Overdeterminedness of a Class of Functional Equations

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dc.creatorShalit, Orr
dc.date2005-12-11
dc.date.accessioned2026-07-07T08:56:18Z
dc.date.available2026-07-07T08:56:18Z
dc.descriptionWe prove a uniqueness theorem for a large class of functional equations in the plane, which resembles in form a classical result of Aczel. It is also shown that functional equations in this class are overdetermined in the sense of Paneah. This means that the solutions, if they exist, are determined by the corresponding relation being fulfilled not in the original domain of validity, but only at the points of a subset of the boundary of the domain of validity.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0512226
dc.identifierhttp://arxiv.org/abs/math/0512226
dc.identifierAequationes Mathematicae, Vol. 74, No. 3, 2007, 242-248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146563
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject39B22
dc.titleThe Overdeterminedness of a Class of Functional Equations
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