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Hyers-ulam stability definition

WebIn this work, we studied the Ulam–Hyers stability results of the generalized additive functional Equation in Banach spaces and non-Archimedean Banach spaces by using … WebHyers–Ulam stability was first proposed by D. H. Hyers and S. M. Ulam in 1941 [1]. Th. M. Rassias had generalized the Hyers’ results, gave the conditions for the existence of linear mappings near approximate linear mappings, and proved the Hyers–Ulam stability of linear mappings [2,3]. Th. M.

A Fixed Point Approach to the Stability of a General Mixed AQCQ ...

WebWe establish some stability results concerning the cubic functional equation f (2 x + y) + f (2 x-y) = 2 f (x + y) + 2 f (x-y) + 12 f (x) in fuzzy normed spaces. We discuss the fuzzy continuity of the cubic mappings and show that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed space. WebNakmahachalasint , in 2007, provided the general answer and Hyers–Ulam–Rassias (H-U-R) stability of finite variable functional equations (see also Khodaei and Rassias ). Certain stability problems around additive functional equations were presented by Najati and Moghimi [ 8 ], Kenary [ 9 ], Gordji [ 10 ] and the references therein. lymphterritorien https://infotecnicanet.com

Hyers-Ulam Stability of Differential Equation - SpringerOpen

Web15 jun. 2015 · It is shown that the Hyers–Ulam stability holds true for y (n) = g (t) y (t − τ) + h (t). The stability of functional differential equations with multiple delays of first order … WebGeneralized Hyers-Ulam-Rassisa Type Stability of a Cauchy Additive (ξ 1,ξ 2)-Functional Inequalities with 3k-Variables in Complex Banach Space Ly Van Open Access Library Journal Vol.9 No.11 ,November 30, 2024 http://proc.imm.az/inpress/pimm0244.pdf lymphtech

Hyers–Ulam stability of first-order linear differential …

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Hyers-ulam stability definition

Hamilton-Jacobi Theory in Cauchy Data Space - ScienceDirect

Web1 jan. 2024 · Download Citation Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces In this paper, we introduce the notion of non- Archimedean ... WebThe stability of the concerned solution in Ulam-Hyers and Ulam-Hyers-Rassias sense is also investigated. For the proposed problem, some results regarding basic reproduction numbers and...

Hyers-ulam stability definition

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Web1 jan. 2024 · ), on the further study of stability problem for functional equations, the stability phenomenon of such type has been very often called the Hyers-Ulam-Rassias … WebStability of Mappings of Hyers-Ulam Type Themistocles M. Rassias Hadronic Press, 1994 - Functional equations - 173 pages 0 Reviews Reviews aren't verified, but Google checks for and removes...

WebThe generalized Hyers-Ulam-Rassias stability proposi- tion in respect of the quadratic functional equation namely f(x +y +z) +f(x y) +f(x z) = f(x y z) +f ... [8, 12, 7, 13, 25]. Definition of fuzzy norm provided by Cheng and Moderson [4] was reshaped by Bag A r and Samanta [2] in 2003. Since then it has been a matter of consideration ... WebIn this paper, the stability of Ulam–Hyers and existence of solutions for semi-linear time-delay systems with linear impulsive conditions are studied. The linear parts of the impulsive systems are defined by non-permutable matrices. To obtain solution for linear impulsive delay systems with non-permutable matrices in explicit form, a new concept of impulsive …

Web29 jul. 2024 · Indeed, the Hyers–Ulam stability has been proved for the first-order linear differential equations in more general settings (see [ 12 – 18 ]). In 2006, Jung [ 15] … Web19 nov. 2024 · Definition 1. If for each function u satisfying (4) where , there is a solution v of the equation such that for all and . Then, we say that the Equation ( 1) has the …

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Web1 jul. 2024 · Free Online Library: Fractional Dynamics of a Measles Epidemic Model. by "Axioms"; Mathematics Simulation Simulation methods Vaccines kinks reactionWebFunctional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and inequalities. kinks prince of the punksWebD. H. HYERS AND S. M. ULAM In previous papers approximately linear functions [1] and ap-proximately isometric transformations [2; 3; 4] have been studied.' In both cases it was shown that the properties of linearity and isometry are "stable" in a certain sense. For example, it was proved kinks preservation act 2Web1 dec. 2024 · Example 17. Define the mapping as in which is a fuzzy real number. Define as So ... We also investigate and establish the generalized Ulam-Hyers stability of this … kinks respectable manWeb28 jun. 2024 · Ulam-Hyers stability for conformable fractional integro-differential impulsive equations with the antiperiodic boundary conditions Fangzhe Wan, Xiping Liu, Mei Jia Mathematics AIMS Mathematics 2024 lymph teaWebStability of Functional Equations in Several Variables - Apr 19 2024 The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial lymph tbWebIn 2014, uniform stability results for a fractional order BAM-type neu-ral networks were obtained [35]. Cao and Bai investigated the stability of BAM neural networks in finite time [7, 8]. In the works, Caputo derivative is consid-ered. In the first work, they used generalized Gronwall inequality to construct the finite-time stability criterion. lymph test meaning