Results 71 to 80 of about 106 (94)

Lattictic non-archimedean random stability of ACQ functional equation

Advances in Difference Equations, 2011
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 1 1 f ( x + 2 y ) + 1 1 f ( x - 2 y ) = 4 4 f ( x + y ) + 4 4 f ( x - y ) + 1 2 f ( 3 y ) - 4 8 f ( 2 ...
Saadati Reza, Cho Yeol
doaj  

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings.
Dutta Hemen, Senthil Kumar B. V., Suresh S.   +2 more
doaj   +1 more source

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations. [PDF]

Springerplus, 2016
Lee YH, Jung SM.
europepmc   +1 more source

Asymptotic aspect of derivations in Banach algebras. [PDF]

J Inequal Appl, 2017
Roh J, Chang IS.
europepmc   +1 more source

Absolutely minimal semi-Lipschitz extensions. [PDF]

Calc Var Partial Differ Equ
Daniilidis A, Lê TM, Venegas FM.
europepmc   +1 more source

On approximation of approximately generalized quadratic functional equation via Lipschitz criteria

Quaestiones Mathematicae, 2019
Let G be an Abelian group with a metric d and E ba a normed space. For any f : G → E we define the generalized quadratic difference of the function f by the formulaQkf(x, y) := f(x + ky) + f(x - ky) - f(x + y) - f(x - y) - 2(k2 - 1) f(y)for all x, y ∈ G ...
Iz-Iddine El-Fassi
exaly   +1 more source

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On stability and nonstability of systems of functional equations

Quaestiones Mathematicae, 2021
Bahman Hayati, Hamid Khodaei, Madjid Eshaghi   +2 more
exaly  

Hyers--Ulam stability of a polynomial equation

Banach Journal of Mathematical Analysis, 2009
Yongjin Li
exaly  

D'Alembert's functional equation on compact groups

Banach Journal of Mathematical Analysis, 2007
László Székelyhidi, Marija Stanić, Aleksandar S Cvetković   +2 more
exaly