caa a22 4500 378906127 CHVBK 20180305123530.0 cr unu---uuuuu 161128e200403 xx s 000 0 eng 10.1515/GMJ.2004.69 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.69 On Hyers-Ulam Stability of Cauchy and Wilson Equations [Elektronische Daten] [Elhoucien Elqorachi, Mohamed Akkouchi] We study the Hyers-Ulam stability problem for the Cauchy and Wilson integral equations where 𝐺 is a topological group, 𝑓, 𝑔 : 𝐺 → ℂ are continuous functions, μ is a complex measure with compact support and σ is a continuous involution of 𝐺. The result obtained in this paper are natural extensions of the previous works concerning the Hyers-Ulam stability of the Cauchy and Wilson functional equations done in the particular case of μ=δe : The Dirac measure concentrated at the identity element of 𝐺. © Heldermann Verlag Topological group nationallicence Hyers-Ulam stability nationallicence Superstability nationallicence Cauchy equation nationallicence D'Alembert equation nationallicence Wilson equation nationallicence Elqorachi Elhoucien Department of Mathematics, Faculty of Sciences, University of Ibnou Zohr, Agadir, Morocco. E-mail: elqorachi@hotmail.com aut Akkouchi Mohamed Department of Mathematics, Faculty of Sciences Semlalia, University of Cadi Ayyad, Marrakech, Morocco. E-mail : makkouchi@hotmail.com aut Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 69-82 1072-947X 11:1<69 2004 11 GMJ https://doi.org/10.1515/GMJ.2004.69 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2004.69 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Elqorachi Elhoucien Department of Mathematics, Faculty of Sciences, University of Ibnou Zohr, Agadir, Morocco. E-mail: elqorachi@hotmail.com aut NATIONALLICENCE 700 1- Akkouchi Mohamed Department of Mathematics, Faculty of Sciences Semlalia, University of Cadi Ayyad, Marrakech, Morocco. E-mail : makkouchi@hotmail.com aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 69-82 1072-947X 11:1<69 2004 11 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter