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HYERS-ULAM STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION
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نویسنده
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ELQORACHI E. ,MANAR Y. ,RASSIAS TH. M.
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منبع
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international journal of nonlinear analysis and applications - 2010 - دوره : 1 - شماره : 2 - صفحه:26 -35
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چکیده
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In the present paper a solution of the generalized quadratic functional equation f(kx + y) + f(kx + σ(y)) = 2k^2f(x) + 2f(y), x, y ϵ e is given where σ 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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کلیدواژه
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Hyers-Ulam-Rassias stability; quadratic functional equation.
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آدرس
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University Ibn Zohr, Faculty of Sciences, Department of Mathematics, Morocco, University Ibn Zohr, Faculty of Sciences, Department of Mathematics, Morocco, National Technical University of Athens, Department of Mathematics, Greece
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پست الکترونیکی
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trassias@math.ntua.gr
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Authors
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