Results 31 to 40 of about 547 (94)
On the stability of the orthogonal Pexiderized Cauchy equation [PDF]
, 2004 We investigate the stability of Pexiderized mappings in Banach modules over a unital Banach algebra. As a consequence, we establish the Hyers--Ulam stability of the orthogonal Cauchy functional equation of Pexider type $f_1(x+y)=f_2(x)+f_3(y)$, $x\perp y$
Aczél +19 more
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Approximately Vanishing of Topological Cohomology Groups [PDF]
, 2005 In this paper, we establish the Pexiderized stability of coboundaries and cocycles and use them to investigate the Hyers--Ulam stability of some functional equations. We prove that for each Banach algebra $A$, Banach $A$-bimodule $X$ and positive integer
Bade +20 more
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Annales Mathematicae Silesianae, 2020 In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the
Schwaiger Jens
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Stability of a functional equation deriving from cubic and quartic functions [PDF]
, 2008 In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A. +2 more
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Superstability of functional equations related to spherical functions
Open Mathematics, 2017 In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
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On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces
, 2015 4, pp. 359-375, December 2015.Universidad Cat´olica del NorteAntofagasta - ChileAbstractIn this paper, we establish some hyperstability results of the fol-lowing Cauchy-Jensen functional equationf(x+y2+z)+f(x−y2+z)=f(x)+2f(z)in Banach spaces.Subjclass ...
Iz-iddine El-Fassi, S. Kabbaj
semanticscholar +1 more source
APPROXIMATE QUADRATIC MAPPINGS IN MODULAR SPACES
, 2017 In this article, we investigate an alternative generalized Hyers–Ulam stability theorem of a modified quadratic functional equation in a modular space Xρ using ∆3-condition without the Fatou property on the modular function ρ. AMS Subject Classification:
H.-M. Kim, Y. S. Hong
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Exact eigenvalue assignment of linear scalar systems with single delay using Lambert W function
, 2018 Eigenvalue assignment problem of a linear scalar system with a single discrete delay is analytically and exactly solved. The existence condition of the desired eigenvalue is established when the current and delay states are present in the feedback loop ...
Huang, Huang-Nan, Yong, Chew Chun
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Recursive procedure in the stability of Fréchet polynomials
, 2014 By means of a new stability result, established for symmetric and multi-additive mappings, and using the concepts of stability couple and of stability chain, we prove, by a recursive procedure, the generalized stability of two of Fréchet’s polynomial ...
D. Dăianu
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Pseudo almost periodic solutions for a class of differential equation with delays depending on state
Advances in Nonlinear Analysis, 2019 In this paper, the exponential dichotomy, and Tikhonov and Banach fixed point theorems are used to study the existence and uniqueness of pseudo almost periodic solutions of a class of iterative functional differential equations of the ...
Zhao Hou Yu
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