Results 71 to 80 of about 3,088,117 (225)

Ulam-Hyers stabilities of fractional functional differential equations

AIMS Mathematics, 2020
From the first results on Ulam-Hyers stability, what has been noted is the exponential growth of the researchers dedicated to investigating Ulam-Hyers stability of fractional differential equation solutions whether they are functional, evolution ...
J. Vanterler da C. Sousa, E. Capelas de Oliveira, F. G. Rodrigues   +2 more
doaj   +1 more source

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

Journal of Mathematics, 2021
In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi, Nasrin Eghbali, Hassen Aydi   +2 more
doaj   +1 more source

Hyers–Ulam stability of first-order linear differential equations using Aboodh transform

, 2021
The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients using the Aboodh transform method.
R. Murali, Dr. Ponmana Selvan Arumugam, S. Baskaran, Choonkill Park, Jung Rye Lee   +4 more
semanticscholar   +1 more source

Hyers--Ulam Stability of Mean Value Points

Annals 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, Jung, ‎Soon-Mo, Li, Yongjin   +2 more
openaire   +3 more sources

Friction Shock Absorbers and Reverse Thrust for Fast Multirotor Landing on High‐Speed Vehicles

Journal of Field Robotics, Volume 43, Issue 2, Page 1068-1090, March 2026.
ABSTRACT Typical landing gears of small uninhabited aerial vehicles (UAV) limit their capability to land on vehicles moving at more than 20–50 km/h due to high drag forces, high pitch angles and potentially high relative horizontal velocities. To enable landing at higher speeds, a combination of lightweight friction shock absorbers and reverse thrust ...
Isaac Tunney, John Bass, Alexis Lussier Desbiens   +2 more
wiley   +1 more source

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

Journal 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

Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

Fractal and Fractional, 2023
We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov, Mariyan Milev, Magdalena Veselinova, Andrey Zahariev   +3 more
doaj   +1 more source

Ulam method for the Chirikov standard map

, 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, B.V. Chirikov, B.V. Chirikov, B.V. Chirikov, B.V. Chirikov, C. Schütte, C.F.F. Karney, D. L. Shepelyansky, D. Terhesiu, D.L. Shepelyansky, G. Cristadoro, G. Froyland, G. Froyland, G. Froyland, J. Ding, J. Meiss, J. Meiss, J.M. Greene, J.M. Greene, K. M. Frahm, L. Ermann, L. Ermann, M. Blank, R. Artuso, R.S. MacKay, R.S. MacKay, R.S. MacKay, S. Aubry, T.-Y. Li, Z. Kaufmann, Z. Kovács   +30 more
core   +4 more sources

Hyers--Ulam stability of a polynomial equation

Banach 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

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

Advanced 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, Katarzyna Starzak, Malgorzata Noworyta, Konrad Cyprych, Krzysztof Bartkowski, Zahra Badri, Sukhvinder Dhiman, Cina Foroutan‐Nejad, Jaroslaw Mysliwiec, Marcin Lindner, Joanna Ortyl   +10 more
wiley   +1 more source