Results 71 to 80 of about 14,394 (244)

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

open access: yesQualitative Theory of Dynamical Systems, 2021
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi   +3 more
openaire   +3 more sources

A characterisation of snowflakes via rectifiability

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley   +1 more source

Strain‐Activated Photo‐Dehalogenation Unlocks Low‐Energy One and Two‐Photon 3D Microfabrication

open access: yesAdvanced Functional Materials, Volume 36, Issue 13, 12 February 2026.
5,14‐NMI‐Cz acts, conversely to its 7,10‐NMI‐Cz(7,10‐'dibromo‐2‐(2,6‐diisopropylphenyl)‐1H‐benzo[lmn]carbazolo[9,1‐bc][2,8]phenanthroline‐1,3(2H)‐dione) counterpart, as modular photoinitiator with panchromatic photoactivity, featuring a weak C–Br bond from geometric strain for efficient Type I & II initiation. These studies demonstrate applicability of
Kacper Piskorz   +10 more
wiley   +1 more source

Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems [PDF]

open access: yes, 2019
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov
Blouhi, Tayeb   +2 more
core  

Approximate Homomorphisms of Ternary Semigroups

open access: yes, 2005
A mapping $f:(G_1,[ ]_1)\to (G_2,[ ]_2)$ between ternary semigroups will be called a ternary homomorphism if $f([xyz]_1)=[f(x)f(y)f(z)]_2$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of mappings of commutative semigroups into ...
A. Cayley   +22 more
core   +2 more sources

Evaluating the Resistance of Bifacial Perovskite Photodetectors to Xenon Ion Irradiation

open access: yesAdvanced Science, Volume 13, Issue 9, 13 February 2026.
Bifacial perovskite photodetectors maintain high efficiency and stability after 231 MeV xenon ion irradiation. Key photodetector parameters remain nearly unchanged at low fluence (1010 nucleons cm−2) and show only moderate degradation at high fluence (1011 nucleons cm−2), highlighting their strong radiation tolerance and suitability for optoelectronic ...
Yerassyl Yerlanuly   +5 more
wiley   +1 more source

The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

open access: yesMathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source

Innovative Approaches to Modelling and Forecasting in Fisheries: A Critical Review

open access: yesAquaculture, Fish and Fisheries, Volume 6, Issue 1, February 2026.
ABSTRACT Fisheries management increasingly demands robust forecasting tools to address growing environmental variability, anthropogenic pressures and complex ecological dynamics. This review systematically examines innovative modelling and forecasting approaches in fisheries, focusing on their descriptions, applications, strengths and limitations and ...
Mohammad Abu Baker Siddique   +5 more
wiley   +1 more source

Nonlinear analysis for Hilfer fractional differential equations

open access: yesFranklin Open
In this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj   +1 more source

Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice

open access: yes, 2002
The Fermi-Pasta-Ulam (FPU) lattice with periodic boundary conditions and $n$ particles admits a large group of discrete symmetries. The fixed point sets of these symmetries naturally form invariant symplectic manifolds that are investigated in this short
Bivins   +10 more
core   +2 more sources

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