• Bulletin of the Korean Mathematical Society
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• v.33 no.4
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• pp.513-519
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• 1996

The stability problem of functional equations has been originally raised by S. M. Ulam. In 1940, he posed the following problem: Give conditions in order for a linear mapping near an approximately additive mapping to exist (see [9]).

• Journal of the Chungcheong Mathematical Society
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• v.10 no.1
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• pp.109-116
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• 1997

In this paper, we prove a generalization of the stability by s. M. Jung[3] of the functional equation $f(x^2-y^2+rxy)=f(x^2)-f(y^2)+rf(xy)$, which can be considered as a variation of the Hosszu's functional equation.