Results 41 to 50 of about 1,022 (204)

Orthogonally Fixed Points and (m, m)-Hom-Derivation Equations

Journal of Mathematics, 2022
In this paper, we introduce the concept of m-Hom-m-derivation (briefly (m, m)-Hom-derivation) equations in orthogonally Banach algebras. We use the orthogonally fixed point to investigate the hyperstability of (m, m)-Hom-derivation equations.
Abdollah Dinmohammadi
doaj   +1 more source

Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability

Journal of Mathematics, 2022
In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional ...
Vahid Keshavarz, Sedigheh Jahedi
doaj   +1 more source

Approximate Cubic Lie Derivations

Abstract and Applied Analysis, 2013
We study the stability and hyperstability of cubic Lie derivations on normed algebras. At the end, we write some additional observations about our results.
Ajda Fošner, Maja Fošner
doaj   +1 more source

About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma

Discrete Dynamics in Nature and Society, 2017
This paper formulates an “ad hoc” robust version under parametrical disturbances of the discrete version of the Kalman-Yakubovich-Popov Lemma for a class of positive hybrid dynamic linear systems which consist of a continuous-time system coupled with a ...
M. De la Sen
doaj   +1 more source

A Space Function Approach to the Hyperstability and the Average Hyperstability of Distributed Systems With Space-Varying Linear Parts and Time-Varying Gains

, 1975
We propose an extension of the Popov’s hyperstability theory which applies to a class of single-control distributed systems in which the linear part depends explicitely upon the distributed parameter, z. The nonlinearness of these systems is expressed by
G. Jumarie
core   +1 more source

Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces

, 2020
In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation in 2-Banach spaces by using Brzdȩk’s fixed point approach ...
Naif Sayar, Khaled Yahya, Bergam, Amal
core   +1 more source

Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces

Journal of Inequalities and Applications
In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces.
Abbas Najati, Yavar Khedmati Yengejeh, Kandhasamy Tamilvanan, Masho Jima Kabeto   +3 more
doaj   +1 more source

Stability of a Bi-Jensen Functional Equation on Restricted Unbounded Domains and Some Asymptotic Behaviors

Mathematics, 2022
In this paper, we give some properties of the bi-Jensen functional equation and investigate its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is not continuous.
Jae-Hyeong Bae, Mohammad Amin Tareeghee, Abbas Najati   +2 more
doaj   +1 more source

Visualizing Specific Tubulin Isotypes and Pathogenic Variants in Cellular Microtubule Arrays

Cytoskeleton, EarlyView.
ABSTRACT Eukaryotic cells depend on dynamic microtubule arrays to execute a wide range of functions vital for life. These microtubule filaments are formed through the polymerization of α/β‐tubulin proteins, which can be generated from numerous tubulin genes, or isotypes.
Sareen Fiaz, Benjamin Powers, Jayne Aiken   +2 more
wiley   +1 more source

A NOTE ON THE GENERALISED HYPERSTABILITY OF THE GENERAL LINEAR EQUATION

, 2017
Let $X$ and $Y$ be two normed spaces over fields $\mathbb{F}$ and $\mathbb{K}$, respectively. We prove new generalised hyperstability results for the general linear equation of the form $g(ax+by)=Ag(x)+Bg(y)$, where $g:X\rightarrow Y$ is a mapping and $a,
WUTIPHOL SINTUNAVARAT, LADDAWAN AIEMSOMBOON   +1 more
core   +1 more source