Open AccessOn the over determinedness of some functional equations
Author(s) -
Boris Paneah
Publication year - 2003
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2004.10.497
Subject(s) - overdetermined system , mathematics , pure mathematics , functional equation , combinatorics , mathematical analysis , differential equation
It is shown that some well known functional equations in Rn ,n ≥ 2, turn out to be overdetermined. This means that their solutions are uniquely defined if the corresponding relations are fulfilled not in the whole spaces Rn ,n ≥ 2, but only at the points of some smooth submanifolds in Rn.
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