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International Journal of Nonlinear Analysis and Applications
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:: Volume 1, Number 2 (Vol. 1, No. 2, 2010) ::
Back to browse issues page IJNAA 2010, 1(2): 26-35
XML Hyers-Ulam stability of the quadratic functional equation Print

Author(s): E. Elqorachi *, Y. Manar2 , Th. M. Rassias3

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3- - ,
Study Type: Research | Subject: Special
Article abstract:
In the present paper a solution of the generalized quadratic functional equation f(kx + y) + f(kx + (y)) = 2k2f(x) + 2f(y), x, y 2 E is given where  is an involution of the normed space E and k is a fixed positive integer. Furthermore we investigate the Hyers-Ulam-Rassias stability of the functional equation. The Hyers-Ulam stability on unbounded domains is also studied. Applications of the results for the asymptotic behavior of the generalized quadratic functional equation are provided.
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Elqorachi E, Manar Y, Rassias T. Hyers-Ulam stability of the quadratic functional equation. IJNAA. 2010; 1 (2) :26-35
URL http://ijnaa.semnan.ac.ir/browse.php?a_code=A-10-1-12&slc_lang=en&sid=1
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Back to browse issues page Volume 1, Number 2 ( Vol. 1, No. 2, 2010)
International Journal of Nonlinear Analysis and Applications
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