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On Hyers-Ulam Stability of Monomial Functional Equations
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998The paper concerns the stability, in the sense of Hyers--Ulam, of the monomial functional equation \[ \Delta^n_y f(x)-n!f(y)=0, \] where \(x,y \in \mathbb{R}\), and \(f\) takes values in a Banach space \(B\). The stability of this equation has been already studied by \textit{L. Székelyhidi}, [C. R. Math. Acad. Sci., Soc. R. Can.
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Hyers-Ulam Stability of HosszÚ’s Equation
2000We give a sharpening and a correction of a result of L. Losonsczi concerning the Hyers-Ulam stability of the Hosszu’s functional equation $$f(xy) = f(x) + f(y) - f(x + y - xy)$$ where f is a function of a real variable with values in a Banach space.
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A Gompertz Model With Conditional Hyers‐Ulam Stability
Mathematical Methods in the Applied SciencesABSTRACTWe consider the Hyers‐Ulam stability of a first‐order nonlinear differential equation based on the Gompertz model. The stability is conditionally established, based on the maximum size of the perturbation being sufficiently small and the initial condition being sufficiently large.
Douglas Anderson +2 more
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Hyers-Ulam and Hyers-Ulam-Rassias Stability of Nonlinear Volterra-Fredholm Integral Equations
The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity, 2022Ahmed A. Hamoud, Nedal M. Mohammed
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