Results 41 to 50 of about 1,516 (136)
On Ulam Stability with Respect to 2-Norm
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 Flett's points
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M. Das, Thomas Riedel, Prasanna K. Sahoo
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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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On the Hyers-Ulam Stability of Linear Mappings
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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Abstract The representation of low clouds and precipitation remains a major source of uncertainty in Earth System Models (ESMs), particularly due to challenges in representing their sub‐grid variability and scale‐dependent sampling. This study evaluates the performance of preliminary simulations from the Large‐Eddy Simulation (LES) Atmospheric ...
Jiakun Liang +6 more
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Stability analysis for first-order nonlinear differential equations with three-point boundary conditions [PDF]
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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Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
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Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions
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
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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Power‐efficient Monte Carlo modeling of nonlinear light–matter interactions in turbid media is demonstrated using Apple Silicon–accelerated photon transport. The Metal‐base framework enables accurate simulation of spontaneous and stimulated Raman scattering, revealing detection‐dependent SRS efficiency while providing a scalable, energy‐efficient ...
Ilya Vladyko +2 more
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