Results 51 to 60 of about 14,394 (244)

On the Orthogonal Stability of the Pexiderized Quadratic Equation

open access: yes, 2005
The Hyers--Ulam stability of the conditional quadratic functional equation of Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is a symmetric orthogonality in the sense of Ratz and f is odd.Comment: 10 pages, Latex; Changed ...
Aczél J.   +12 more
core   +2 more sources

Hyers–Ulam stability with respect to gauges

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz   +2 more
openaire   +1 more source

A Power‐Efficient Monte Carlo Framework for Nonlinear Light–Matter Interactions: In Silico Modeling of Spontaneous and Stimulated Raman Scattering in Turbid Media

open access: yesJournal of Raman Spectroscopy, EarlyView.
Power‐efficient Monte Carlo modeling of nonlinear light–matter interactions in turbid media is demonstrated using Apple Silicon–accelerated photon transport. The Metal‐base framework enables accurate simulation of spontaneous and stimulated Raman scattering, revealing detection‐dependent SRS efficiency while providing a scalable, energy‐efficient ...
Ilya Vladyko   +2 more
wiley   +1 more source

Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

open access: yesJournal of Function Spaces, 2014
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
doaj   +1 more source

Ulam method for the Chirikov standard map

open access: yes, 2010
We introduce a generalized Ulam method and apply it to symplectic dynamical maps with a divided phase space. Our extensive numerical studies based on the Arnoldi method show that the Ulam approximant of the Perron-Frobenius operator on a chaotic ...
B. Chirikov   +30 more
core   +4 more sources

Hyers--Ulam Stability of Mean Value Points

open access: yesAnnals of Functional Analysis, 2010
The authors consider a few problems concerning the stability for Lagrange's and Flett's mean value points. The first result reads as follows. Let \(f:\mathbb{R}\to\mathbb{R}\) be a continuously twice differentiable mapping and let \(\eta\in(a,b)\) be a unique Lagrange's mean value point of \(f\) in \((a,b)\) (i.e., \(f'(\eta)=\frac{f(b)-f(a)}{b-a ...
Găvruţă, Pasc   +2 more
openaire   +3 more sources

Ecosystem Impacts of the Landing Obligation for Unwanted Catch in Thermaikos Gulf (Greece)

open access: yesFisheries Management and Ecology, Volume 33, Issue 2, Page 246-259, April 2026.
ABSTRACT Discards by marine commercial fisheries have been an issue of major concern to the scientific community in recent years. We modeled the ecological and trophic consequences of a mandatory landing obligation (LO) regulated by the reformed Common Fisheries Policy [Regulation (EU) 1380/2013] on the Thermaikos Gulf ecosystem (northwestern Aegean ...
Ioannis Keramidas   +3 more
wiley   +1 more source

Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses

open access: yesCommunications in Advanced Mathematical Sciences, 2023
This paper deals with the existence, uniqueness, and Ulam-stability outcomes for $\Xi$-Hilfer fractional fuzzy differential equations with impulse.
Kangarajan K.   +3 more
doaj   +1 more source

Hyers--Ulam stability of a polynomial equation

open access: yesBanach Journal of Mathematical Analysis, 2009
The authors prove a Hyers-Ulam type stability result for the polynomial equation \(x^n + \alpha x + \beta = 0\). In particular, using Banach's contraction mapping theorem, they prove the following result: If \( |\alpha | > n\), \(|\beta | < |\alpha|-1\) and \(y \in [-1, 1]\) satisfies the inequality \[ |y^n + \alpha y + \beta | \leq \varepsilon \] for ...
Li, Yongjin, Hua, Liubin
openaire   +2 more sources

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2463-2473, 15 March 2026.
ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye   +6 more
wiley   +1 more source

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