Results 101 to 110 of about 111 (111)

On Hyers-Ulam-Rassias stability of functional equations

Acta Mathematica Sinica, English Series, 2008
Let \(G_1\) and \(G_2\) be two groups. We say that \(f, g, h, p, q :G_1\to G_2\) are the pseudo-additive mappings of the mixed quadratic and Pexider type in \(G_1\) if \[ f(x+y+z)+g(x+y)-h(x)-p(y)-q(z)=0 \] for all \(x, y, z \in G_1.\) In this paper the author investigates the Hyers-Ulam-Rassias stability of the functional equation above.
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Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings

2012
In this paper, we give an introduction to the Hyers–Ulam–Rassias stability of orthogonally additive mappings. The concept of Hyers–Ulam–Rassias stability originated from Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72:297–300, 1978.
P. Găvruţa, L. Găvruţa
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Hyers-Ulam-Rassias Stability for a Multivalued Iterative Equation

Acta Mathematica Scientia, 2008
Abstract Because multifunctions do not have so good properties as single-valued functions, only the existence of solutions of the polynomial-like iterative equation of order 2 is discussed for multifunctions. This article gives conditions for its Hyers-Ulam-Rassias stability.
Zhang Wanxiong, Xu Bing
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On the Hyers-Ulam-Rassias Stability of Mappings

1998
We give an answer to a question of Hyers and Rassias [5] concerning the stability of mappings.
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HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS

2014
In this paper we introduce the concept of Hyers-Ulam-Rassias stability of polynomial equations and then we show that if x is an approximate solution of the equation anxn + an􀀀1xn􀀀1 + :::a1x + a0, then there exists an exact solution of the equation near to x.
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A new method for the generalized Hyers-Ulam-Rassias stability

2010
We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.
Gavruta, P., Gavruta, L.
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HYERS-ULAM-RASSIAS STABILITY OF NONHOMOGENEOUS HEAT EQUATIONS

Far East Journal of Mathematical Sciences (FJMS), 2017
Gaoyu Wu, Liubin Hua, Yongjin Li
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Hyers-Ulam-Rassias stability of functional equations on fuzzy normed linear spaces

2013
Summary: In this paper, we use the definition of fuzzy normed spaces given by \textit{T. Bag} and \textit{S. K. Samanta} [J. Fuzzy Math. 11, No. 3, 687--705 (2003; Zbl 1045.46048); Fuzzy Sets Syst. 151, No. 3, 513--547 (2005; Zbl 1077.46059)] and the behavior of solutions of the additive functional equation are described.
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Hyers-Ulam-Rassias Stability Of The Inhomogeneous Wave Equation

المجلة الفلسطينية للتكنولوجيا والعلوم التطبيقية, 2020
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Hyers-Ulam Rassias Stability of a Functional Differential Equation

2017
BİÇER, EMEL, TUNÇ, CEMİL
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