Results 51 to 60 of about 2,274,963 (193)
On Ulam Stability with Respect to 2-Norm
Symmetry, 2023 The Ulam stability of various equations (e.g., differential, difference, integral, and functional) concerns the following issue: how much does an approximate solution of an equation differ from its exact solutions? This paper presents methods that allow to easily obtain numerous general Ulam stability results with respect to the 2-norms.
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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
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Ulam stability for second-order linear differential equations with three variable coefficients
Results in Applied Mathematics, 2022 This study deals with Ulam stability of second-order linear differential equations of the form e(x)y′′+f(x)y′+g(x)y=0. The method established by Cădariu et al. (2020) is extended.
Masakazu Onitsuka
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Stability analysis for first-order nonlinear differential equations with three-point boundary conditions [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In the present paper, we study a system of nonlinear differential equations with three-point boundary conditions. The given original problem is reduced to the equivalent integral equations using Green function.
Kamala E. Ismayilova
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On automorphism groups of metric reduced products of symmetric groups
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We study isomorphisms between metric reduced products of symmetric groups with the normalized Hamming metric assuming the open coloring axiom OCA${\mathsf {OCA}}$ and Martin's axiom for σ$\sigma$‐linked posets.
Ben De Bondt, Andreas Thom
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Ulam-Hyers Stability for Operatorial Equations
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 Let \((X,d)\) be a metric space, \(\mathcal P(X):=\{Y\subset X\}\), \(P(X):=\{Y\in\mathcal P(X):Y\neq\emptyset\}\), \(D_d:P(X)\times P(X)\to\mathbb R_+\) the gap functional, given by \[ D_d(A,B)=\inf\left\{d(a,b):a\in A,\,b\in B\right\}, \] and let \(F:X\to P(X)\) be a multivalued operator.
Bota-Boriceanu, M. F., Petruşel, A.
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On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We study prethermalization in time‐independent quantum many‐body systems on a d$d$‐dimensional lattice with an extensive local Hamiltonian H=N+εP$H=N+\varepsilon P$, in the regime where ε≪1$\varepsilon \ll 1$. We prove that the prethermal timescale is exponential in ε0/ε$\varepsilon _0/\varepsilon$, where ε0$\varepsilon _0$ is an explicit ...
Matteo Gallone
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Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Advances in Difference Equations, 2018 This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan +3 more
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Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses
Communications in Advanced Mathematical Sciences, 2023 This paper deals with the existence, uniqueness, and Ulam-stability outcomes for $\Xi$-Hilfer fractional fuzzy differential equations with impulse.
Kangarajan K. +3 more
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Advanced Electronic Materials, Volume 12, Issue 16, 24 August 2026.Proton irradiation effects on fully printed carbon‐electrode perovskite photodiodes are systematically examined. Devices exposed to 0.5 MeV protons retain structural integrity while exhibiting defect‐induced changes in local coordination and recombination dynamics.
Almaz R. Beisenbayev +8 more
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