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Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions

J. Math. Phys. 50, 113519 (2009); doi:10.1063/1.3263147

Published 25 November 2009

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Jae-Young Chung,1 Dohan Kim,2 and John Michael Rassias3
1Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea
2Department of Mathematics, Seoul National University, Seoul 151-747, South Korea
3Pedagogical Department E. E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Street, Aghia Paraskevi, Athens 15342, Greece

We consider the Hyers–Ulam stability of a generalized quadratic functional equation in the spaces of distributions of Schwartz and hyperfunctions of Gelfand modulo bounded distributions and hyperfunctions. ©2009 American Institute of Physics
History: Received 11 July 2009; accepted 14 October 2009; published 25 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/113519/1
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KEYWORDS and PACS

Keywords
PACS
  • 02.20.Bb
    General structures of groups
  • YEAR: 2009

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0022-2488 (print)   1089-7658 (online)
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