Results 181 to 188 of about 814 (188)

HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS

Rocky Mountain Journal of Mathematics
We formulate sufficient conditions under which a nonautonomous dynamics exhibits Hyers--Ulam-Rassias stability. These conditions require that the linear part is exponentially stable and that the nonlinear part is Lipschitz small. We consider both the case of continuous and discrete time dynamics.
Dragičević, Davor, Jurčević Peček, Nevena   +1 more
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Hyers–Ulam–Rassias Stability on Amenable Groups

2016
In this chapter, we study the Ulam–Hyers–Rassias stability of the generalized cosine-sine functional equation: $$\displaystyle{\int _{K}\int _{G}f(xtk \cdot y)d\mu (t)dk = f(x)g(\,y) + h(\,y),\;x,y \in G,}$$ where f, g, and h are continuous complex valued functions on a locally compact group G, K is a compact subgroup of morphisms of G, dk is ...
Khalil Sammad, Mohamed Akkouchi, Elhoucien Elqorachi   +2 more
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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 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.
Xu Bing, Zhang Wanxiong, Zhang Wanxiong
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On the Hyers-Ulam-Rassias Stability of a Functional Equation

2003
In this paper, we will introduce a new functional equation f (x 1, y 1) f (x 2, y 2) = f (x 1 x 2+ y 1 y 2, x 1 y 2 − y 1 x 2), which is strongly related to a well known elementary formula of number theory, and investigate the solutions of the equation. Moreover, we will also study the Hyers—Ulam—Rassias stability of that equation.
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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 OF NONHOMOGENEOUS HEAT EQUATIONS

Far East Journal of Mathematical Sciences (FJMS), 2017
Yongjin Li, Gaoyu Wu, Liubin Hua
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Hyers-Ulam-Rassias Stability Of The Inhomogeneous Wave Equation

المجلة الفلسطينية للتكنولوجيا والعلوم التطبيقية, 2020
openaire   +1 more source