Results 1 to 10 of about 601 (125)
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 ...
Reza Saadati, Yeol Je Cho
exaly +4 more sources
Stability of additivity and fixed point methods
Fixed Point Theory and Applications, 2013 We show that the fixed point methods allow to investigate Ulam’s type stability of additivity quite efficiently and precisely. Using them we generalize, extend and complement some earlier classical results concerning the stability of the additive Cauchy ...
Janusz Brzdek
exaly +2 more sources
Hyers-Ulam stability of functional equations in matrix normed spaces
Journal of Inequalities and Applications, 2013 In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional equation and the quadratic functional equation in matrix normed spaces.MSC:47L25, 39B82, 46L07, 39B52.
Choonkil Park, Jung Rye Lee
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Approximately cubic functional equations and cubic multipliers
Journal of Inequalities and Applications, 2011 In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions.
Alias Idham +2 more
doaj +2 more sources
Stability of the second order partial differential equations
Journal of Inequalities and Applications, 2011 We say that a functional equation (ξ) is stable if any function g satisfying the functional equation (ξ) approximately is near to a true solution of (ξ).
Ghaemi MB +3 more
doaj +2 more sources
Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
doaj +3 more sources
Demonstratio Mathematica, 2023 This article presents the general solution f:G→Vf:{\mathcal{G}}\to {\mathcal{V}} of the following functional equation: f(x)−4f(x+y)+6f(x+2y)−4f(x+3y)+f(x+4y)=0,x,y∈G,f\left(x)-4f\left(x+y)+6f\left(x+2y)-4f\left(x+3y)+f\left(x+4y)=0,\hspace{1.0em}x,y\in {\
Park Choonkil +4 more
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Hyperstability of Rassias-Ravi reciprocal functional equation
Miskolc Mathematical Notes, 2021 The investigation of stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially mixed type and multiplicative ...
B. S. Kumar, K. Al-Shaqsi, H. Dutta
semanticscholar +1 more source
New Stability Results of Multiplicative Inverse Quartic Functional Equations
Turkish Journal of Computer and Mathematics Education, 2021 The purpose of this investigation is to introduce different forms of multiplicative inverse functional equations, to solve them and to establish the stability results of them in the framework of matrix normed spaces.
Beri V. Senthil Kumar, Et. al.
semanticscholar +1 more source
Stability and hyperstability of multi-additive-cubic mappings
Miskolc Mathematical Notes, 2021 In this article, we introduce the multi-additive-cubic mappings and then unify the system of functional equations defining a multi-additive-cubic mapping to a single equation.
A. Nejati, A. Bodaghi, A. Gharibkhajeh
semanticscholar +1 more source