[PDF] Top 20 On the stability of generalized d'Alembert and Jensen functional equations
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On the stability of generalized d'Alembert and Jensen functional equations
... The aim of this paper is to study the stability problem of the generalized d’Alembert, Wilson, and Jensen functional equations.. Copyright © 2006 Hindawi Publishing Corporation.[r] ... See full document
12
Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras
... Hyers-Ulam-Rassias stability of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: f (x + ... See full document
15
On the Ulam type stability of several types of quadratic fuzzy set valued functional equations
... was generalized by Aoki [] for additive mappings and in- dependently by Rassias [] for linear mappings by considering an unbounded Cauchy def- ...type stability problems for different types of ... See full document
19
Fuzzy stability of functional inequalities in matrix fuzzy normed spaces
... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...was generalized by Aoki [] for additive mappings and by ... See full document
28
On the Stability of Functional Equations in Random Normed Spaces
... are said to be Jensen- Type Quadratic functional equations. In 2009, S.Y.Jang, Rye Lee, Choonkil Park, and Dong Yun Shin [24] proved the Fuzzy stability of equation (1.3) and (1.4). The notion ... See full document
10
Stability of Quartic Functional Equations in the Spaces of Generalized Functions
... If p < 0, q < 0, the right side of 4.6 does not define a distribution. Thus, the inequality 4.6 makes no sense in this case. Also, if p 4, q 4, it is not known whether Hyers-Ulam- Rassias stability of 1.4 ... See full document
16
Generalized Stabilities of Euler-Lagrange-Jensen (a,b)-Sextic Functional Equations in Quasi-β-Normed Spaces
... Several stability results have recently been obtained for various functional equations and functional inequalities, also for mappings with more general domains and ranges (see [6], [7], [8], ... See full document
8
On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
... The stability problem concerning the stability of group homomorphisms of functional equations was originally introduced by Ulam [] in ...Ulam stability prob- lem was partially solved ... See full document
12
Fixed Points and Stability of the Cauchy Functional Equation in -Algebras
... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...was generalized by Aoki 3 for additive mappings and by ...call ... See full document
14
Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces
... of functional equations, then we can ask the question: When the solutions of an equation differing slightly from a given one must be close to the true solution of the given ... See full document
8
A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations
... Volterra functional di ff erential equations and discretized versions,” in Volterra Equations and Applications (Arlington, TX, 1996), ...of Stability and Control: Theory and Applications, ... See full document
16
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... complete generalized metric space X, d (i.e., one for which d may assume infinite values) and a strictly contractive mapping A : X → X with the Lipschitz constant L < 1 are ... See full document
15
On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... the stability of the linear functional ...the stability of the linear transformation in Banach ...(ed.): Functional Equations, Inequalities and ...the stability of ... See full document
13
Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods
... S.M.Ulam, in this famous lecture in 1940 to the mathematics club of university as the stability problems of Wisconsin, presented a number of unsolved problems. This is the starting point of the theory of the ... See full document
8
Fuzzy approximately additive mappings
... fuzzy stability prob- lems for the Cauchy additive functional equation, the Jensen additive functional equation and the cubic functional equation in fuzzy Banach ...the ... See full document
10
A general theorem on the stability of a class of functional equations including monomial equations
... We combine Lemmas . and . in the following theorem to formulate the main theo- rem which is easily applicable. We here notice that conditions () and () are satisfied in usual cases provided we apply the direct ... See full document
12
Stability of quadratic functional equations in generalized functions
... holds for convolution. The semigroup property will be very useful for converting equation (.) into the classical functional equation defined on an upper-half plane. We also use the following famous result, the ... See full document
15
Stability of Trigonometric Functional Equations in Generalized Functions
... We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and G[r] ... See full document
12
Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... Menger proposed transferring the probabilistic notions of quantum mechanic from physics to the underlying geometry. The theory of probabilistic normed spaces briefly, PN-spaces is important as a generalization of ... See full document
14
Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative
... The stability problem of functional equations originated from a question of Ulam 12 concerning the stability of group ...was generalized by Aoki 14 for additive mappings and by ...call ... See full document
17
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