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Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
core   +8 more sources

On Ulam stability [PDF]

open access: yesIsrael Journal of Mathematics, 2018
Israel Journal of Mathematics, 193 (1)
Burger, M., Ozawa, N., Thom, A.
core   +5 more sources

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

open access: yesNonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A.   +5 more
doaj   +2 more sources

Applications of Banach Limit in Ulam Stability [PDF]

open access: yesSymmetry, 2021
We show how to get new results on Ulam stability of some functional equations using the Banach limit. We do this with the examples of the linear functional equation in single variable and the Cauchy equation.
R. Badora, J. Brzdȩk, K. Ciepliński
semanticscholar   +4 more sources

Ulam Stability for Boundary Value Problems of Differential Equations—Main Misunderstandings and How to Avoid Them

open access: yesMathematics
Ulam type stability is an important property studied for different types of differential equations. When this type of stability is applied to boundary value problems, there are some misunderstandings in the literature. In connection with this, initially,
Ravi P. Agarwal   +2 more
doaj   +2 more sources

On Ulam Stability of a Functional Equation [PDF]

open access: yesResults in Mathematics, 2020
In this note, we study the Ulam stability of a functional equation both in Banach and m-Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions.
K. Ciepliński
semanticscholar   +3 more sources

Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

open access: yesComplexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
doaj   +2 more sources

Evaluating the Resistance of Bifacial Perovskite Photodetectors to Xenon Ion Irradiation. [PDF]

open access: yesAdv Sci (Weinh)
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 ...
Yerlanuly Y   +5 more
europepmc   +2 more sources

Ulam stability of linear differential equations using Fourier transform

open access: yesAIMS Mathematics, 2020
The purpose of this paper is to study the Hyers-Ulam stability and generalized HyersUlam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method.
Murali Ramdoss   +2 more
doaj   +2 more sources

Local Borsuk-Ulam, Stability, and Replicability [PDF]

open access: yesSymposium on the Theory of Computing, 2023
We use and adapt the Borsuk-Ulam Theorem from topology to derive limitations on list-replicable and globally stable learning algorithms. We further demonstrate the applicability of our methods in combinatorics and topology.
Zachary Chase   +3 more
semanticscholar   +1 more source

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