Results 51 to 60 of about 4,116 (221)
Hyers-Ulam stability of a generalized Apollonius type quadratic mapping
, 2006 Let X,Y be linear spaces. It is shown that if a mapping Q:X→Y satisfies the following functional equation:(0.1)Q((∑i=1nzi)−(∑i=1nxi))+Q((∑i=1nzi)−(∑i=1nyi))=12Q((∑i=1nxi)−(∑i=1nyi))+2Q((∑i=1nzi)−(∑i=1nxi)+(∑i=1nyi)2) then the mapping Q:X→Y is quadratic ...
Park, C-G +3 more
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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
doaj +1 more source
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.
openaire +1 more source
Journal of Raman Spectroscopy, Volume 57, Issue 7, Page 1283-1295, July 2026.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
wiley +1 more source
Stability of mappings on multi-normed spaces [PDF]
, 2007 In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings ...
Dales, H.G. +3 more
core
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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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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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley +1 more source
On the stability of functional equations in Banach spaces
, 2000 The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces.
Rassias, Themistocles M, Rassias, TM
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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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