Results 101 to 110 of about 3,894 (258)

Healing and Angiogenic Properties of Collagen/Chitosan Scaffolds Enriched with Hyperstable FGF2-STAB® Protein: In Vitro, Ex Ovo and In Vivo Comprehensive Evaluation [PDF]

open access: gold, 2021
Lucy Vojtová   +14 more
openalex   +1 more source

Survey on Recent Ulam Stability Results Concerning Derivations

open access: yesJournal of Function Spaces, 2016
This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Janusz Brzdęk   +4 more
doaj   +1 more source

HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION

open access: yesBulletin of the Korean Mathematical Society, 2015
For two normed spaces \(X,Y\), \(f: X\to Y\) and given scalars \(a,b,A,B\), by the general linear functional equation the author means \[ f(ax+by)=Af(x)+Bf(y),\qquad x,y\in X.\tag{1} \] Its approximate solutions are defined by \[ \|f(ax+by)-Af(x)-Bf(y)\|\leq\varphi(x,y),\qquad x,y\in X\tag{2} \] with some control mapping \(\varphi\).
openaire   +3 more sources

On Ulam's Type Stability of the Cauchy Additive Equation

open access: yesThe Scientific World Journal, 2014
We prove a general result on Ulam's type stability of the functional equation fx+y=fx+fy, in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes.
Janusz Brzdęk
doaj   +1 more source

Passive dynamic controllers for nonlinear mechanical systems [PDF]

open access: yes
A methodology for model-independant controller design for controlling large angular motion of multi-body dynamic systems is outlined. The controlled system may consist of rigid and flexible components that undergo large rigid body motion and small ...
Juang, Jer-Nan   +3 more
core   +1 more source

A fixed point theorem in ultrametric n-Banach spaces and hyperstability results

open access: yesFixed Point Theory, 2023
Almahalebi M.   +3 more
semanticscholar   +1 more source

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

open access: yesJournal 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

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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

open access: yesMathematics, 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

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