Results 41 to 50 of about 2,274,963 (193)
Hyers–Ulam stability with respect to gauges
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz +2 more
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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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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 +3 more
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On the Hyers-Ulam Stability of Linear Mappings
Journal of Mathematical Analysis and Applications, 1993 Let \(H\) be a monotonically increasing symmetric homogeneous function of degree \(p\), where \(p\in (0,\infty)\backslash\{1\}\). Let \(f\) be a mapping from a real normed space \(X\) into a real Banach space \(Y\). Assume that \[ \| f(x+ y)- f(x)- f(y)\|\leq H(\| x\| \| y\|)\quad \forall x,\;y\in X. \] The authors proved that \[ T(x)=\lim_{n\to\infty}
Rassias, T.M., Semrl, P.
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MathematicsIn this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah +2 more
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Stability of Partial Differential Equations by Mahgoub Transform Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
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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 +2 more
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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
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Risk Analysis, Volume 46, Issue 11, November 2026.ABSTRACT Ambient air pollution poses major global public health risks, particularly in rapidly developing regions, including the Arabian Gulf. This study estimates the disease burden attributable to anthropogenic air pollution (particulate matter [PM] and ozone) in Abu Dhabi, United Arab Emirates, for 2019–2022 and compares findings to previous ...
Tongchuan Wei +6 more
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Stable but Transient—Episodic Sensitivity in a Buffered German Karst Headwater Stream
Hydrological Processes, Volume 40, Issue 10, October 2026.Baseline carbonate chemistry revealed coherent, degassing‐controlled patterns across the stream. Although warm low‐flow and rewetting periods temporarily increased system variability, carbonate buffering persisted (I). In addition, gas transfer and local hydromorphology decoupled CO2 evasion from pCO2 in a spring‐fed karst headwater stream (II ...
Christina M. Schubert +3 more
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