Results 161 to 170 of about 1,857 (182)

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
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +1 more source

HYERS-ULAM-RASSIAS STABILITY OF NONHOMOGENEOUS HEAT EQUATIONS

Far East Journal of Mathematical Sciences (FJMS), 2017
Gaoyu Wu, Liubin Hua, Yongjin Li
openaire   +1 more source

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
Tomas Caraballo, Lassaad Mchiri, Mohamed Rhaima   +2 more
exaly  

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.
openaire   +1 more source

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Qualitative Theory of Dynamical Systems, 2021
Martin J Bohner, Alaa E Hamza
exaly  

Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform

Symmetry, 2021
Daniela I Inoan, Daniela Marian
exaly