Results 101 to 110 of about 2,363 (230)

On asymptotic behaviors of a specific cubic functional equation and its hyperstability

Demonstratio Mathematica
In this article, the asymptotic behavior and hyperstability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) $$f\left(2x+y\right)+f\left(2x-y\right)=2f\left(x+y\right)+2f\left(x-y\right)+12f\left(x\right)$$ are discussed.
Bae Jae-Hyeong, Najati Abbas, Tareeghee Mohammad Amin   +2 more
doaj   +1 more source

Synthesis and control of generalised dynamically substructured systems

, 2009
The experimental technique for testing engineering systems via the method of dynamic substructuring is receiving significant global interest, for example in the fields of large-scale structural, aerospace, and automotive system testing.
Stoten, D.P., Tu, J.Y., Li, G.; id_orcid, Li, G, Stoten, DP, Tu, J-Y   +5 more
core   +1 more source

Stability of the Apollonius Type Additive Functional Equation in Modular Spaces and Fuzzy Banach Spaces

Mathematics, 2019
In this work, we investigate the generalized Hyers-Ulam stability of the Apollonius type additive functional equation in modular spaces with or without Δ 2 -conditions.
Sang Og Kim, John Michael Rassias
doaj   +1 more source

On Stability and Hyperstability of an Equation Characterizing Multi-Cauchy–Jensen Mappings

, 2018
Recently, functions of several variables satisfying, with respect to each variable, some functional equation (among them Cauchy’s, Jensen’s, quadratic and other ones) have been studied.
A. Bahyrycz, J. Olko
semanticscholar   +1 more source

Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces

Journal of Inequalities and Applications, 2019
In this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous radical quadratic functional equation of the form f(ax2+by2)=af(x)+bf(y)+D(x,y), $$f \bigl(\sqrt{
Yali Ding, Tian-Zhou Xu
doaj   +1 more source

A fixed point approach to the hyperstability of the general linear equation in β-Banach spaces

, 2018
The purpose of this paper is first to reformulate the fixed point theorem (see Theorem 1 of [J. Brzdȩk, J. Chudziak and Z. Páles, A fixed point approach to stability of functional equations, Nonlinear Anal. 74 2011, 17, 6728–6732]) in β-Banach spaces. We
Iz-iddine EL-Fassi, Samir Kabbaj, Abdellatif Chahbi   +2 more
core   +1 more source

Non-Archimedean hyperstability of a Cauchy-Jensen type functional equation

, 2017
. In this paper, we establish some hyperstability results concerning the following Cauchy - Jensen functional ...
M. Almahalebi
semanticscholar   +1 more source

Interdigitated immunoglobulin arrays form the hyperstable surface layer of the extremophilic bacterium <i>Deinococcus radiodurans</i>. [PDF]

Proc Natl Acad Sci U S A, 2023
von Kügelgen A, van Dorst S, Yamashita K, Sexton DL, Tocheva EI, Murshudov G, Alva V, Bharat TAM.   +7 more
europepmc   +1 more source

On the Generalized Stabilities of Functional Equations via Isometries

Axioms
The main goal of this research article is to investigate the stability of generalized norm-additive functional equations. This study demonstrates that these equations are Hyers-Ulam stable for surjective functions from an arbitrary group G to a real ...
Muhammad Sarfraz, Jiang Zhou, Yongjin Li, John Michael Rassias   +3 more
doaj   +1 more source

Hyperstability of Control Systems [PDF]

Journal of Dynamic Systems, Measurement, and Control, 1974
V. M. Popov, M. R. Posehn
openaire   +1 more source