Results 171 to 180 of about 5,043 (195)

On Hyers-Ulam Stability of Monomial Functional Equations

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998
The 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.
openaire   +2 more sources

Hyers-Ulam Stability of HosszÚ’s Equation

2000
We 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.
openaire   +1 more source

A Gompertz Model With Conditional Hyers‐Ulam Stability

Mathematical Methods in the Applied Sciences
ABSTRACTWe 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, Masumi Kondo, Masakazu Onitsuka   +2 more
openaire   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias Stability of Nonlinear Volterra-Fredholm Integral Equations

The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity, 2022
Ahmed A. Hamoud, Nedal M. Mohammed
openaire   +1 more source

Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays

Chaos, Solitons and Fractals, 2022
Danfeng Luo, Quanxin Zhu
exaly  

Hyers–Ulam stability and existence of solutions for fractional differential equations with Mittag–Leffler kernel

Chaos, Solitons and Fractals, 2020
JinRong Wang, Yong Zhou, Donal O'Regan
exaly  

Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

Applied Mathematics Letters, 2018
José Vanterler Sousa, Edmundo Capelas de Oliveira   +1 more
exaly  

Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses

Mathematical Methods in the Applied Sciences, 2017
Akbar Zada, Wajid Ali
exaly  

The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

Journal of Mathematical Analysis and Applications, 2002
Hark-Mahn Kim
exaly  

Hyers–Ulam stability of linear differential equations of second order

Applied Mathematics Letters, 2010
Yongjin Li
exaly