Results 31 to 40 of about 248 (64)
Associative string functions [PDF]
, 2014 We introduce the concept of associativity for string functions, where a string function is a unary operation on the set of strings over a given alphabet. We discuss this new property and describe certain classes of associative string functions.
Lehtonen, Erkko +2 more
core +2 more sources
On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 229-236, 1995., 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
wiley +1 more source
Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
doaj +1 more source
A classification of polynomial functions satisfying the Jacobi identity over integral domains [PDF]
, 2017 The Jacobi identity is one of the properties that are used to define the concept of Lie algebra and in this context is closely related to associativity. In this paper we provide a complete description of all bivariate polynomials that satisfy the Jacobi ...
Marichal, Jean-Luc, Mathonet, Pierre
core +3 more sources
Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces
Demonstratio Mathematica, 2019 In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
doaj +1 more source
Approximately multiplicative maps from weighted semilattice algebras [PDF]
, 2013 We investigate which weighted convolution algebras $\ell^1_\omega(S)$, where $S$ is a semilattice, are AMNM in the sense of Johnson (JLMS, 1986). We give an explicit example where this is not the case.
Birkhoff, Dales, Hewitt, YEMON CHOI
core +3 more sources
Hyers-Ulam stability of quadratic forms in 2-normed spaces
Demonstratio Mathematica, 2019 In this paper, we obtain Hyers-Ulam stability of the functional ...
Park Won-Gil, Bae Jae-Hyeong
doaj +1 more source
On a type of exponential functional equation and its superstability in the sense of Ger [PDF]
, 2013 In this paper, we deal with a type exponential functional equation as follows $$f(xy)=f(x)^{g(y)},$$ where $f$ and $g$ are two real valued functions on a commutative semigroup.
Alimohammady, M. +2 more
core
On the local and global comparison of generalized Bajraktarevi\'c means [PDF]
, 2017 Given two continuous functions $f,g:I\to\mathbb{R}$ such that $g$ is positive and $f/g$ is strictly monotone, a measurable space $(T,A)$, a measurable family of $d$-variable means $m: I^d\times T\to I$, and a probability measure $\mu$ on the measurable ...
Amr Zakaria +26 more
core +2 more sources
Almost automorphic solutions of discrete delayed neutral system
, 2015 We study almost automorphic solutions of the discrete delayed neutral dynamic system% \[ x(t+1)=A(t)x(t)+\Delta Q(t,x(t-g(t)))+G(t,x(t),x(t-g(t))) \] by means of a fixed point theorem due to Krasnoselskii.
Adıvar, Murat, Koyuncuoglu, H. Can
core +1 more source