نتایج جستجو برای: quartic functional equation

تعداد نتایج: 806247  

Journal: :international journal of nonlinear analysis and applications 2010
n. ghobadipour c. park

in this paper, we investigate the generalizedhyers--ulam stability of the functional equation

S. Abbaszadeh

In this paper, we prove the generalized Hyers--Ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy Banach spaces.

Journal: :bulletin of the iranian mathematical society 2011
c.-g. park

Journal: :international journal of nonlinear analysis and applications 2010
s. abbaszadeh

in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.

2014
M. Eshaghi Gordji M. Rassias Victor M. Perez Garcia

and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...

Journal: :Abstract and Applied Analysis 2011

2014
Abasalt Bodaghi

We obtain the general solution of the generalized quartic functional equation f(x + my) + f(x - my) = 2(7m - 9)(m - 1)f(x) + 2m²(m² - 1)f(y)-(m - 1)² f(2x) + m²{f(x + y) + f(x - y)} for a fixed positive integer m. We prove the Hyers-Ulam stability for this quartic functional equation by the directed method and the fixed point method on real Banach spaces. We also investigate the Hyers-Ulam stab...

Journal: :Annals of the Alexandru Ioan Cuza University - Mathematics 2015

Journal: :The Scientific World Journal 2014

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