On Hyers-Ulam Stability of Cauchy and Wilson Equations

Verfasser / Beitragende:
[Elhoucien Elqorachi, Mohamed Akkouchi]
Ort, Verlag, Jahr:
2004
Enthalten in:
Georgian Mathematical Journal, 11/1(2004-03), 69-82
Format:
Artikel (online)
ID: 378906127
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024 7 0 |a 10.1515/GMJ.2004.69  |2 doi 
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245 0 0 |a On Hyers-Ulam Stability of Cauchy and Wilson Equations  |h [Elektronische Daten]  |c [Elhoucien Elqorachi, Mohamed Akkouchi] 
520 3 |a We study the Hyers-Ulam stability problem for the Cauchy and Wilson integral equations where is a topological group, , : → ℂ are continuous functions, μ is a complex measure with compact support and σ is a continuous involution of . 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 . 
540 |a © Heldermann Verlag 
690 7 |a Topological group  |2 nationallicence 
690 7 |a Hyers-Ulam stability  |2 nationallicence 
690 7 |a Superstability  |2 nationallicence 
690 7 |a Cauchy equation  |2 nationallicence 
690 7 |a D'Alembert equation  |2 nationallicence 
690 7 |a Wilson equation  |2 nationallicence 
700 1 |a Elqorachi  |D Elhoucien  |u Department of Mathematics, Faculty of Sciences, University of Ibnou Zohr, Agadir, Morocco. E-mail: elqorachi@hotmail.com  |4 aut 
700 1 |a Akkouchi  |D Mohamed  |u Department of Mathematics, Faculty of Sciences Semlalia, University of Cadi Ayyad, Marrakech, Morocco. E-mail : makkouchi@hotmail.com  |4 aut 
773 0 |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 11/1(2004-03), 69-82  |x 1072-947X  |q 11:1<69  |1 2004  |2 11  |o GMJ 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Elqorachi  |D Elhoucien  |u Department of Mathematics, Faculty of Sciences, University of Ibnou Zohr, Agadir, Morocco. E-mail: elqorachi@hotmail.com  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Akkouchi  |D Mohamed  |u Department of Mathematics, Faculty of Sciences Semlalia, University of Cadi Ayyad, Marrakech, Morocco. E-mail : makkouchi@hotmail.com  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 11/1(2004-03), 69-82  |x 1072-947X  |q 11:1<69  |1 2004  |2 11  |o GMJ 
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