Results 71 to 80 of about 4,116 (221)

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

Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative

Engineering Reports, Volume 8, Issue 3, March 2026.
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah, Isaac K. Adu, Fredrick A. Wireko, Adu Sakyi   +3 more
wiley   +1 more source

Solution of a quadratic stability Ulam type problem [PDF]

, 2004
summary:In 1940 S. M. Ulam (Intersci. Publ., Inc., New York 1960) imposed at the University of Wisconsin the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist”. According to P. M. Gruber (Trans.
Rassias, John Michael
core  

Nonlinear analysis for Hilfer fractional differential equations

Franklin 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

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

Mathematics, 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

Hyers–Ulam and Hyers–Ulam–Rassias Stability for Linear Fractional Systems with Riemann–Liouville Derivatives and Distributed Delays

Axioms, 2023
The aim of the present paper is to study the asymptotic properties of the solutions of linear fractional system with Riemann–Liouville-type derivatives and distributed delays. We prove under natural assumptions (similar to those used in the case when the
Hristo Kiskinov, Ekaterina Madamlieva, Andrey Zahariev   +2 more
doaj   +1 more source

Hyers–Ulam stability of zeros of polynomials

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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

A characterisation of snowflakes via rectifiability

Bulletin 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

Solution of a Cauchy-Jensen stability Ulam type problem [PDF]

, 2001
summary:In 1978 P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) imposed the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately.
Rassias, John M.
core