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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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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 Linear Recurrence with Constant Coefficients Over the Quaternion Skew Yield
Qualitative Theory of Dynamical Systems, 2022Yuqun Zou, Michal Feckan, Jinrong Wang
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Hyers–Ulam Stability for a Class of Perturbed Hill’s Equations
Results in Mathematics, 2021D. Dragičević
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Exact solutions and Hyers-Ulam stability for fractional oscillation equations with pure delay
Applied Mathematics Letters, 2021Li Liu, Qixiang Dong, Gang Li
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