• 충청수학회지
• /
• 제20권2호
• /
• pp.163-172
• /
• 2007

In this paper, we prove the Hyers-Ulam-Rassias stability of a Cauchy-Jensen functional equation $$2f(x+y,\frac{z+w}{2})=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$.

• Korean Journal of Mathematics
• /
• 제17권1호
• /
• pp.91-102
• /
• 2009

Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the 3-variable Cauchy functional equation.

• Kyungpook Mathematical Journal
• /
• 제43권4호
• /
• pp.481-487
• /
• 2003

In this paper we study the Hyers-Ulam-Rassias stability of Popoviciu's functional equation in Banach modules over a Banach algebra.

• 호남수학학술지
• /
• 제27권2호
• /
• pp.211-223
• /
• 2005

In this paper we study the Hyers-Ulam stability and the superstability of functional equations related to a multiplicative derivation.

• 충청수학회지
• /
• 제20권4호
• /
• pp.515-523
• /
• 2007

In this paper, we investigate the Hyers-Ulam-Rassias stability of generalized Jensen type quadratic functional equations in Banach spaces.

• 대한수학회보
• /
• 제47권3호
• /
• pp.491-502
• /
• 2010

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation f(2x + y) + f(2x - y) = 4(f(x + y) + f(x - y)) - $\frac{3}{7}$(f(2y) - 2f(y)) + 2f(2x) - 8f(x).

• 대한수학회보
• /
• 제44권1호
• /
• pp.185-194
• /
• 2007

In this paper we study the Hyers-Ulam-Rassias stability of the functional equations related to a multiplicative derivation.

• Journal of applied mathematics & informatics
• /
• 제9권2호
• /
• pp.837-844
• /
• 2002

In this paper, we obtain the Hyers-Ulam Stability for the difference equations of the form f(x + 1) = $\Gamma$(x)f(x), which is the reciprocal functional equation of the double gamma function.

• Korean Journal of Mathematics
• /
• 제20권1호
• /
• pp.91-106
• /
• 2012

In this paper, we prove the Hyers-Ulam stability of the Jensen functional equation in fuzzy Banach algebras by using fixed point method and by using direct method.

• 대한수학회보
• /
• 제38권2호
• /
• pp.261-272
• /
• 2001

In this paper we prove the stability of the generalized quadratic equation f(x+y)+g(x-y)-2f(x)-2g(y)=0 in the spirit of Hyers, Ulam and Rassias.