International Journal of Nonlinear Science, Volume (10), No (2), Year (2010-3) , Pages (231-237)

#### Title : ( On solutions and Hyeres--Ulam--Rassias stability of a generalized quadratic equation )

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In this paper we study general solutions and Hyers-Ulam-Rassias stability of the following function equation \$$\\label{0} (4-k)f(\\sum_{i=1}^{k}x_{i})+\\sum_{j=1}^{k}f((\\sum_{i=1,i\\not=j}^{k}x_{i})-x_{j}))=4\\sum_{i=1}^{k}f(x_{i}),~ k\\geq3 \$$ on Banach spaces. It will be shown that this equation is equivalent to the so-called quadratic functional equation.

#### Keywords

, Hyers, , Ulam, , Rassias stability; Quadratic
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@article{paperid:1033752,
title = {On solutions and Hyeres--Ulam--Rassias stability of a generalized quadratic equation},
journal = {International Journal of Nonlinear Science},
year = {2010},
volume = {10},
number = {2},
month = {March},
issn = {1749-3889},
pages = {231--237},
numpages = {6},
keywords = {Hyers--Ulam--Rassias stability; Quadratic equation},
}