نتایج جستجو برای: rassias stability

تعداد نتایج: 299884  

2000
GWANG HUI KIM

The Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and also the stability in the spirit of Gǎvru̧ta for each of the following quadratic functional equations f(x+y)+ f(x−y) = 2f(x)+ 2f(y), f(x+y + z)+ f(x−y)+ f(y − z)+ f(z−x) = 3f(x)+3f(y)+3f(z), f (x+y+z)+f(x)+f(y)+f(z)= f(x+y)+f(y+z)+f(z+x) are investigated. 2000 Mathematics Subject Classification. Primary 39B52, 39B72, 39B82.

2002
GWANG HUI KIM BING XU WEINIAN ZHANG

for some positive constant ε depending only on δ. Sometimes we call f a δ-approximate solution of (1.1) and g ε-close to f . Such an idea of stability was given by Ulam [13] for Cauchy equation f(x+y) = f(x)+f(y) and his problem was solved by Hyers [4]. Later, the Hyers-Ulam stability was studied extensively (see, e.g., [6, 8, 10, 11]). Moreover, such a concept is also generalized in [2, 3, 12]...

Journal: :J. Applied Mathematics 2012
Jaeyoung Chung Jeongwook Chang

The Hyers-Ulam stability problems of functional equations go back to 1940 when S. M. Ulam proposed a question concerning the approximate homomorphisms from a group to a metric group see 1 . A partial answer was given by Hyers et al. 2, 3 under the assumption that the target space of the involved mappings is a Banach space. After the result of Hyers, Aoki 4 , and Bourgin 5, 6 dealt with this pro...

Journal: :Bulletin of the Korean Mathematical Society 2009

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

in  this paper, we investigate the generalizedhyers-ulam-rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{z}-{0,pm1}$) in $p-$banach spaces.

Journal: :Bulletin of the Korean Mathematical Society 2003

Journal: :International Journal of Computer Applications 2013

Journal: :bulletin of the iranian mathematical society 2012
e. ansari-piri e. anjidani

we investigate the stability of generalizedderivations on banach algebras with a bounded central approximateidentity. we show that every approximate generalized derivation inthe sense of rassias, is an exact generalized derivation. also thestability problem of generalized derivations on the faithful banachalgebras is investigated.

Journal: :Symmetry 2022

The purpose of this paper is to determine the existence tripled fixed point results for symmetry system fractional hybrid delay differential equations. We obtain which support at least one solution our by applying theory. Similar types stability analysis are presented, including Ulam–Hyers, generalized Ulam–Hyers–Rassias, and Ulam–Hyers–Rassias. necessary stipulations obtaining proposed problem...

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